August 7 (Mon) 
Afternoon Session 1 (13:0014:10) 
Vladimir Rosenhaus ^{*} 
KITP, UC Santa Barbara 
SYK Model ^{*} 
The SYK model, a quantum mechanical model of $N\gg 1$ Majorana fermions $\chi_i$ with a $q$body, random interaction, is a novel realization of holography. We discuss recent progress in finding the bulk dual of SYK.

Afternoon Session 2 (14:3015:20) 
Tatsuo Azeyanagi 
Universite Libre de Bruxelles 
Aspects of large D matrix models and
tensor models 
In this talk, I will investigate a new type of (enhanced) large D limit
for complex/Hermitian matrix models and its generalizations. I will explain
physical properties of the models, including their phase structures.
I will also comment on some connections to the tensor models proposed
as implementation of the SYK model without relying on disorder.

Suguru Okumura 
Kyoto University 
Deformations of the AlmheiriPolchinski model 
We study YangBaxter deformations of a specific 1+1 D dilaton gravity model
called the AlmheiriPolchinski model. We present a deformed black hole solution
and compute the BekensteinHawking entropy. The entropy can also be reproduced
holographically by evaluating the renormalized stress tensor on a regularized
screen close to a singularity which is generated by the deformation.
This work is based on the collaboration arXiv:1701.06340 and arXiv:1704.07410
with Hideki Kyono and Kentaroh Yoshida.

Afternoon Session 3 (15:3516:50) 
Masaki Shigemori 
Queen Mary University of London & Yukawa Institute for Theoretical Physics 
Recent developments in the black hole microstate geometry program 
I will discuss recent developments in the black hole microstate geometry
program, including a new class of superstratum solutions, and their
implications for black hole microphysics.

Minkyu Park 
Yukawa Institute for Theoretical Physics 
NonAbelian supertubes 
We found an example of nonAbelian supertubes which are natural extensions of
all known (Abelian) supertubes so far. By nonAbelian, we mean noncommute
monodromy matrices which belong to each supertube, $[M_1,M_2]\ne0$. The
solution is obtained in the limit where two supertubes can be regarded as one
supertube. We also study the physical properties of this solution and discuss some
implications of it in the context of black hole microstate.

Yoshinori Matsuo 
National Taiwan University 
Static black holes with back reaction from vacuum energy 
We study spherically symmetric static solutions to the semiclassical Einstein equation
sourced by the vacuum energy of quantum fields in the curved spacetime of the same solution.
We found solutions that are small deformations of the Schwarzschild metric for distant observers,
but without horizon. Instead of being a robust feature of objects with high densities,
the horizon is sensitive to the energymomentum tensor in the nearhorizon region.

Afternoon Session 4 (17:0518:20) 
Yuki Yokokura 
RIKEN 
A Model of Black Hole Evaporation and 4D Weyl Anomaly 
We analyze time evolution of a sphericallysymmetric collapsing matter
from a point of view that black holes evaporate by nature.
We consider conformal matters and solve the semiclassical Einstein equation
$G_{\mu\nu}=8\pi G \langle T_{\mu\nu} \rangle$ by using the 4dimensional Weyl anomaly
with a large $c$ coefficient. Here $\langle T_{\mu\nu} \rangle$ contains the contribution
from both the collapsing matter and Hawking radiation. The solution indicates that
the collapsing matter forms a dense object and evaporates without horizon or singularity,
and it has a surface but looks like an ordinary black hole from the outside.
Any object we recognize as a black hole should be such an object.

Nobuyoshi Ohta 
Kindai University 
Gauge and Parametrization dependence in Renormalization group approach to Quantum Gravity 
We perform a general computation of the offshell oneloop divergences in a higherderivative theory of gravity in addition to the Hilbert and cosmological terms in a twoparameter family of path integral measures, corresponding to different ways of parametrizing the graviton field, and a twoparameter family of gauges. Trying to reduce the gauge and measuredependence selects certain classes of measures and gauges respectively. There is a choice of two parameters (corresponding to the exponential parametrization and the partial gauge condition that the quantum field be traceless) that automatically eliminates the dependence on the remaining two parameters and on the cosmological constant. We observe that the divergences are invariant under a $Z_2$ "duality" transformation that involves the replacement of the densitized metric by a densitized inverse metric as the fundamental quantum variable. This singles out a formulation of unimodular gravity as the unique "selfdual" theory in this class.

Kazunari Shima 
Saitama Institute of Technology 
Nonlinearsupersymmetric general relativity theory for a model of nature 
Considering unstable Riemann spacetime inspired by nonlinear
representation of SUSY(NLSUSY) whose tangent space possesses
Grassmann SL(2,C) degrees of freedom besides the ordinary
Minkowski (SO(1,3)) ones and performing the ordinary
geometric arguments of Einstein general relativity(GR)
principle, we obtain NLSUSY invariant EinsteinHilberttype
general relativity action(nonlinear supersymmetric general
relativity (NLSUSYGR)) equipped with the cosmological term.
NLSUSYGR would collapse spontaneously(Big Collapse) to
ordinary Riemann spacetime and Nambuoldstone fermion
corresponding to [superGL(4,R)/GL(4,R)] of Grassmann
degrees of freedom.
It gives a new paradigm for the SUSY unification of space
time and matter with the robust SUSY breaking encoded in
spacetime itself, where the standard model(SM) of the low
energy particle physics is anticipated to emerge in the true
vacuum of NLSUSYGR as the effective theory composed of NG
fermion. From these viewpoints the linearization of NLSUSY
and the relation(equivalence) of NLSUSY theory with the LSUSY
theory are discussed in detail by the systematic and
algebraic argument.
SUSYGR paradigm can bridge naturally the cosmology and the
low energy particle physics and gives new insights into
unsolved problems of cosmology and SM and explains naturally
mysterious relations among them, e.g. the spacetime
dimension four, the dark energy density≃( neutrino mass)4 ,
the threegenerations structure of quarks and leptons, etc..
The Grassmann nature of spacetime and the NLSUSY Lie algebra
play crucial roles.

August 8 (Tue) 
Morning Session 1 (9:0010:10) 
Shinya Kanemura^{*} 
Osaka University 
Higgs as a Probe of New Physics^{*} 
We discuss physics of the Higgs sector, new physics models beyond the standard
model and their relation, from the viewpoint that the Higgs sector is a key to new
physics. We discuss how we can approach to the new physics beyond the
standard model via exploring the structure and the property of the Higgs sector
using current LHC experiments, precision studies at the future International Linear
Collider and the future gravitational wave interferometers such as LISA and
DECIGO.

Morning Session 2 (10:3011:20) 
Naoki Yamatsu 
Maskawa Institute, Kyoto Sangyo University 
Special Grand Unification 
I will propose newtype grand unified theories (GUTs) based on GUT gauge groups broken to their special subgroups. In the framework, 4D gauge anomaly cancellation restricts the minimal number of generations of the 4D the Standard Model (SM) Weyl fermions. In this talk, I will show that in an SU(16) GUT on 6D orbifold space whose GUT group is broken to its special subgroup SO(10) and further SM gauge groups, three generations of the SM fermions are allowed by the 6D and 4D gauge anomaly cancellation on the bulk and fixed points without exotic 4D chiral fermions. This talk is based on arXiv:1704.08827.

Masatoshi Yamada 
Heidelberg University 
Gauge hierarchy problem in asymptotically safe gravitythe resurgence mechanism 
The gauge hierarchy problem could find a solution within the scenario of
asymptotic safety for quantum gravity. We discuss a "resurgence
mechanism" where the running dimensionless coupling responsible for
the Higgs scalar mass first decreases in the ultraviolet regime and
subsequently increases in the infrared regime. A gravity induced large
anomalous dimension plays a crucial role for the required "selftuned
criticality" in the ultraviolet regime beyond the Planck scale.

Morning Session 3 (11:3512:25) 
Keita Kanno 
Kavli IPMU 
Revisiting arithmetic solutions to the W=0 condition 
The gravitino mass is expected not to be much smaller
than the Planck scale for a large fraction of vacua in
flux compactifications. There is no continuous parameter
to tune even by hand, and it seems that the gravitino
mass can be small only as a result of accidental
cancellation between period integrals weighted by
integervalued flux quanta. DeWolfe et.al. (2005)
proposed to pay close attention to vacua where the Hodge
decomposition is possible within a number field, so that
the precise cancellation takes place as a result of
algebra. We focus on a subclass of those vacuathose
with complex multiplicationsand explore more on the
idea in this article. It turns out, in Type IIB
compactifications, that those vacua admit nontrivial
supersymmetric flux configurations if and only if the
reflex field of the Weil intermediate Jacobian is
isomorphic to the quadratic imaginary field generated by
the axidilaton vacuum expectation value. We also found
that flux statistics is highly enriched on such vacua, as
Fterm conditions become linearly dependent.

Hajime Otsuka 
Waseda University 
SO(32) heterotic line bundle models 
We search for the threegeneration standardlike models from
$SO(32)$ heterotic string theory on smooth, quotient complete
intersection CalabiYau threefolds
with multiple line bundles.
The stable line bundles lead to the three chiral generations
of quarks and leptons
without chiral exotics. The Higgs doublets appear as the
vectorlike particles
under the standard model gauge groups.
It is found that the Yukawa couplings of quarks and leptons
are allowed at the renormalizable level.

Afternoon Session 1 (14:0515:20) 
Tomoki Nosaka 
Korea Institute for Advanced Study 
Instanton in rankdeformed ChernSimons matter theory from topological string 
We studied the partition function of U(N)^4 circular quiver superconformal ChernSimons theory which preserves N=4 supersymmetry. The N=4 supersymmetry restricts the four ChernSimons levels to be (k,0,k,0) or (k,k,k,k), which are unified through the HananyWitten transition in the generalization with nonequal ranks U(N+M_1)xU(N+M_2)xU(N+M_3)xU(N+M_4). We explicitly showed that the generating function of this partition function coincides for special M_i with the free energy of topological string on local D_5 del Pezzo geometry, with the nonperturbative completion proposed by Hatsuda, Marino, Moriyama and Okuyama in arXiv:1306.1734.

Sanefumi Moriyama 
Osaka City University 
Superconformal ChernSimons Theories from del Pezzo Geometries 
In the talk by Tomoki Nosaka, it was found that the socalled (2,2) model (which is a superconformal ChernSimons theory with the gauge group U(N)^4 and the ChernSimons level (k,0,k,0)) is described by the free energy of topological strings. Here I would like to present a geometrical interpretation to this analysis and discuss its implication.

Takao Suyama 
KEK 
Strong Coupling Limit of A Family of ChernSimonsmatter Theories 
We investigate the strong coupling limit of a family of ChernSimonsmatter theories in the planar limit.
The family consists of ${\cal N}=3$ theories with the gauge group ${\rm U}(N_1)_{k_1}\times{\rm U}(N_2)_{k_2}$ coupled to $n$ bifundamental hypermultiplets.
All observables obtainable from the planar resolvent turns out to have finite limits in the large 't~Hooft coupling limit.
Possible gravity duals are briefly discussed.
We observe that KacMoody algebras govern the structure of the planar spectral curves of the theories.

Afternoon Session 2 (15:3516:50) 
Kazuma Shimizu 
Yukawa Institute for Theoretical Physics 
Mass Deformed ABJM Theory in Finite and large N 
We study the mass deformed ABJM theory by using localization method. We studied this theory in the large N limit with help of the saddle point approximation. This work suggests that there is a singularity of the solution of the saddle point at a certain finite value of mass parameter. In this time, we study this theory in finite N region by the numerical analysis. The result suggests that there are zero locus of the partition function of this theory at certain values of the mass parameter and the first zero point becomes the singular point of the solution of the saddle point equation in our previous work. This presentation is based on the collaboration with Masazumi,Honda, Tomoki, Nosaka and Seiji,Terashima.

Shuichi Yokoyama 
Yukawa Institute for Theoretical Physics 
Complete factorization in minimal N=4 ChernSimonsmatter theory 
I will speak about my recent work with T.Nosaka on the study of a minimal N=4 ChernSimons matter theory, that is, N=4 U(N)_k x U(N+M)_{k} ChernSimons theory coupling to one bifundamental hypermultiplet employing its partition function, which is given by 2N+M dimensional integration via localization. Surprisingly, by performing the integration explicitly the partition function completely factorizes into that of pure ChernSimons theory for two gauge groups and an analogous contribution from the hypermultiplet. Using the factorized partition function we argue the level/rank duality, which is also expected from the HananyWitten transition of type IIB brane realization. If time permits, I also comment on the connection to the higherspin theory in the 't Hooft limit.

Hironori Mori 
Yukawa Institute for Theoretical Physics 
Refined geometric transition and qqcharacters 
We provide the refined prescription for the geometric transition in
the refined topological string theory and show how to apply it to
constructing doubly quantized SeibergWitten curves called qq
characters. In the arguments of literatures for the refined
geometric transition, it was not seriously considered that the
choice of the preferred direction may affect the open string
amplitude. Our prescription given here for the refined geometric
transition is involved in nontrivial effects from sensitivity to the
preferred direction. As its application, we discuss the description of
the qqcharacter that was recently welldeveloped but whose
stringy origin is still unclear. It is proposed that it can be
engineered by the refined geometric transition, which may possibly
give interpretation in terms of string theory.

Afternoon Session 3 (17:0518:20) 
Yuji Sugimoto 
Osaka University 
CalabiYau geometry and electrons on 2d lattices 
The Bmodel approach of topological string theory leads to difference
equations
by quantizing algebraic mirror curves. It is known that these quantum
mechanical systems
are solved by the refined topological strings.
Recently, it was pointed out that the quantum eigenvalue problem for a
particular CalabiYau manifold, known as local $\mathbb{F}_0$,
is closely related to the Hofstadter problem for electrons on a two
dimensional square lattice.
In this paper, we generalize this idea to a more complicated CalabiYau
manifold.
We find that the local $\mathcal{B}_3$ geometry, which is a threepoint
blowup of local $\mathbb{P}^2$,
is associated with electrons on a triangular lattice.
This correspondence allows us to use known results in condensed
matter physics
to investigate the quantum geometry of the toric CalabiYau manifold.

Kohta Hatakeyama 
Shizuoka University 
Correlation functions and renormalization in a scalar field theory on the fuzzy sphere 
We study correlation functions in a scalar field theory on the fuzzy
sphere, which is realized by a matrix model where the matrix size
plays a role of the UV cutoff. We identify the Berezin symbol for a
matrix with a field, and we calculate the correlation functions of
the fields by Monte Carlo simulation. By tuning a parameter of the
theory, we find that the twopoint and fourpoint correlation
functions agree for different matrix sizes. This result strongly
suggests that the theory is renormalizable.

Takaki Matsumoto 
Tsukuba University 
Information metric and Berry phase in matrix geometry 
Matrix geometry is defined by a sequence of some Hermitian
matrices and known as a typical example of noncommutative
geometry which is a promising candidate for the quantum geometry
of spacetime. We introduce a recently proposed method which
makes it possible to relate matrix geometry to smooth
differential geometry. In this formulation, we introduce the
information metric and Berry phase and show that they work as a
Riemannian metric and gauge field on the corresponding smooth
geometry respectively. They are expressed in terms of given
matrices and therefore regarded as a new objects that
characterize the matrix geometry. This talk is based on a work in
collaboration with Goro Ishiki and Hisayoshi Muraki.

August 9 (Wed) 
Morning Session 1 (9:0010:10) 
Christopher Herzog ^{*} 
Stony brook University 
Boundary Trace Anomalies and Boundary Conformal Field Theory^{*} 
I discuss some aspects of boundary conformal field theories (bCFTs). I will
demonstrate that free bCFTs have a universal way of satisfying crossing
symmetry constraints. I will introduce a simple class of interacting bCFTs where
the interaction is restricted to the boundary. Finally, I will discuss possible
relationships between boundary trace anomalies and boundary limits of stress
tensor correlation functions.

Morning Session 2 (10:3011:45) 
Noburo Shiba 
Harvard University 
The AharonovBohm Effect on Entanglement Entropy in Conformal Field Theory 
We consider the AharonovBohm effect on entanglement entropy for one interval in (1+1) dimensional conformal field theory on a one dimensional ring. The magnetic field is confined inside the ring, i.e. there is a Wilson loop on the ring. The AharonovBohm phase factor which is proportional to the Wilson loop is represented as insertion of twist operators. We compute exactly the Renyi entropy from a four point function of twist operators in a free charged scalar field.

Kotaro Tamaoka 
Osaka University 
Entanglement Entropy for 2D Gauge Theories with Matters

Entanglement entropy (EE) for gauge theories have rich structures due to the gauge constraints. In this talk, first we explain the difference of EE between usual spin systems and gauge theories by using the extended Hilbert space definition. Next, we discuss the EE in 1+1dimensional $SU(N)$ gauge theories with various matter fields on the lattice. Especially, we consider how the ground state EE in the continuum limit can be understood from the lattice ground state. This talk is based on the work arXiv:1705.01549 in collaboration with Sinya Aoki, Norihiro Iizuka, and Tsuyoshi Yokoya.

Ken Kikuchi 
Nagoya University 
Exactly marginal deformations of supersymmetric Renyi entropy

Conformal field theories (CFTs) often appear in continuous
families. These CFTs are connected by exactly marginal
deformations. Therefore, their parameters, called exactly
marginal couplings, label CFTs, and can be considered as
coordinates of manifolds called conformal manifolds. It is known
that sphere partition functions of various CFTs with nontrivial
conformal manifolds compute Kahler potentials of exactly marginal
couplings. On the other hand, an object called supersymmetric
Renyi entropy (SRE) is defined via partition functions on
branched sphares, which are one parameter generalization of
ordinary spheres. Thus it is expected that similar structures
would be observed if one considers exactly marginal deformations
of SRE (at least in the limit that branched spheres reduce to the
ordinary ones). We would like to address this question.

Morning Session 3 (12:0012:50) 
Sotaro Sugishita 
Osaka University 
Entanglement entropy for free scalar fields in AdS

We consider entanglement entropy (EE) of QFT in AdS space in order to evaluate quantum corrections to the holographic EE of CFT. For a holographic CFT, when the theory is a large N theory, EE can be computed by the area of the minimal surface in the bulk AdS space. However, for a finite N theory, we need to consider the quantum corrections in the bulk. It is proposed that the quantum corrections are given by the bulk EE and back reaction. We evaluate these corrections for the scalar field in AdS at the 1loop level and see that the result is consistent with the 1/N expansion of the dual CFT.

Satoshi Ohya 
Nihon University 
Conformal WardTakahashi Identity at Finite Temperature 
It is widely believed that conformal symmetry is always broken at finite
temperature. This is true in most cases, however, this is not the whole
truth: if CFTs are thermalized via the Unruh effect, conformal symmetry
remains intact. In this talk I shall discuss the conformal WardTakahashi
identities in $d$dimensional CFT thermalized via the Unruh effect. I
shall show that, for the case of twopoint functions, the conformal
WardTakahashi identities are translated into certain recurrence
relations in the complex momentum space. It can be shown that all the
realtime twopoint functions are obtained by solving these recurrence
relations in any spacetime dimension $d\geq3$.

Afternoon Session 1 (14:0515:20) 
Taro Kimura 
Keio University 
Nonsimplylaced quiver gauge theory from Omegabackground

We introduce quiver gauge theory associated with the nonsimplylaced type fractional quiver, and define fractional quiver Walgebras by using construction of arXiv:1512.08533 and arXiv:1608.04651 with representation of fractional quivers. This talk is based on a collaboration with V. Pestun (IHES).

Toshiaki Fujimori 
Keio University 
Resurgence Structure to All Orders of Multibions in Deformed SUSY Quantum Mechanics

Perturbation series in quantum theory are usually divergent asymptotic
series which give rise to ambiguities when they are resummed by using
the Borel resummation. Those ambiguities are expected to be canceled
when nonperturbative corrections from nontrivial saddle points are
correctly added to form socalled resurgent transseries. I will talk
about the full resurgent transseries in the (nearly) supersymmetric
${\mathbb C}P^1$ quantum mechanics reduced from the 2d $\mathcal
N=(2,0)$ model. We obtain exact results for the first and second
susceptibility of the ground state energy under a SUSY breaking
deformation. We obtain all multibion exact solutions in the complexified
theory and construct the resurgent transseries to all orders in the
multibion contributions. We show that it reproduces the exact result,
which supports the resurgence to all orders.

Antonino Flachi 
Keio University 
GrossNeveu model on the interval: exact solutions and quantum vacuum energy

In this talk I will present discuss a fermion system of finite size. Fermions are
allowed to interact and are forced to obey rigid boundary conditions. I will
approach this problem by using a selfconsistent method based on the nonlinear
Schr\"odinger equation and show how this alters the process of condensation and
the quantum vacuum energy for this system. A nontrivial behaviour in the Casimir
force, displaying a switch from an attractive to a repulsive regime, is observed.
This sign flip originates from the competition between the attractive contribution
from the usual fermionic Casimir effect and a repulsive one coming from the
condensate.

Afternoon Session 2 (15:3518:20) 
Poster Session 
List of Posters 
Jaewang Choi 
Yukawa Institute for Theoretical Physics 
Super YangMills theory with position dependent couplings 
When the coupling depends on the position, whether supersymmetry
is preserved or not is not manifest. We found some conditions to
preserve supersymmetry with position dependent coupling by
deforming the N=4 SYM theory. And we got some nontrivial
solutions to satisfy these conditions in some specific case. And
also in perspective of supergravity in 10 dimension, we can guess
that our deformed SYM action have relations with D3 branes'
worldvolume action in general supergravity background. So, we
also discuss about relation with our new deformation terms and 10
dimensional supergravity fields.

Sota Hanazawa 
Ibaraki University 
Dirichletbranes from BRSTinvariance in Pure Spinor Formalism

In the pure spinor formalism, the kappasymmetry in Green
Schwarz (GS) superstring is replaced with the BRST symmetry. In
this talk, we find that boundary conditions to eliminate BRST
surface term of pure spinor superstring in an ${\rm
AdS_5}\times{\rm S^5}$ background lead to a classification of
possible configurations of 1/2BPS Dirichletbranes. Our result
turns out to be consistent with the one obtained by the boundary
kappainvariance of GS superstring. We also discuss an open pure
spinor supermembrane in the presence of a constant threeform
flux. It is shown that a noncommutative M5brane and a
noncommutative M9brane are possible as boundary conditions.

Yasuyuki Hatsuda 
Rikkyo University 
Solving Integrable Systems by String Theory 
I will explain that a class of integrable systems is solved by
topological string theory. It turns out that there exists a remarkable
symmetric structure in these integrable systems.

Masaya Iida 
Tokyo University of Science 
Fermions coupled with a vortex skyrmion 
Fermions that interact with the baby skyrmion are already
studied. And it is known that energy level continuously travel
between positive/negative levels by variation of the baby
skyrmion size and the fermion become localizing mode during
the level crossing. In this poster, we study behavior of the
fermion interacting with vortex skyrmion. The vortex skyrmion
is consisting of the baby skyrmions piled along the three
dimensional direction. We discuss behavior of the fermion by
spectral flow analysis and solving the Dirac equation. The
specific energy level is affected by the topological
information of the vortex skyrmion. We obtain the traveling
wave solution as well as bound state solution. And we discuss
close connection between the statistics of the vortex skyrmion
and the winding number.

Hiroshi Isono 
Chulalongkorn University 
Inflation from Supersymmetry Breaking

We explore the possibility that inflation is driven by supersymmetry breaking
with the superpartner of the goldstino (sgoldstino) playing the role of the
inflaton. Moreover, we impose an Rsymmetry that allows to satisfy easily the
slowroll conditions, avoiding the socalled $\eta$problem, and leads to two
different classes of small field inflation models; they are characterised by an
inflationary plateau around the maximum of the scalar potential, where R
symmetry is either restored or spontaneously broken, with the inflaton rolling
down to a minimum describing the present phase of our Universe. To avoid the
Goldstone boson and remain with a single (real) scalar field (the inflaton), R
symmetry is gauged with the corresponding gauge boson becoming massive.
This framework generalises a model studied recently by the present authors,
with the inflaton identified by the string dilaton and Rsymmetry together with
supersymmetry restored at weak coupling, at infinity of the dilaton potential.
The presence of the Dterm allows a tuning of the vacuum energy at the
minimum. The proposed models agree with cosmological observations and
predict a tensortoscalar ratio of primordial perturbations $10^{9}\lt r\lt
10^{4}$ and an inflation scale $10^{10}$ GeV $\lt H_*\lt 10^{12}$ GeV. $H_*$
may be lowered up to electroweak energies only at the expense of finetuning
the scalar potential.

Nahomi Kan 
National Institute of Technology, Gifu College 
Boson stars in interacting scalar models associated with graphs

We study solutions for boson stars in the multiscalar field
theory with global symmetry $[U(1)]^N$. The properties of the boson stars are
investigated by the Newtonian approximation with the large coupling limit. Our purpose is to
study the models bringing about exotic mass distributions which explain
flat rotation curves of galaxies. We propose plausible models in which coupling
matrices are associated with various graphs in graph theory.

Shoichi Kawamoto 
Chung Yuan Christian University 
Charged rotating BTZ black holes in noncommutative space and torsion gravity

We consider charged rotating BTZ black holes in noncommutative
space by use of ChernSimons theory formulation of $2+1$
dimensional gravity. The noncommutativity between the radial and
the angle variables is introduced through the SeibergWitten map
for gauge fields, and the deformed geometry to the first order in
the noncommutative parameter is calculated. It is found that the
deformation also induces nontrivial torsion, and the framework of
EinsteinCartan theory appears to be suitable to investigate the
equations of motion. Though the deformation is indeed nontrivial,
the deformed and the original Einstein equations are found to be
related by a rather simple coordinate change.

Yuta Kikuchi 
Kyoto University & Stony Brook University 
Mixed anomaly and global inconsistency in quantum mechanics 
We discuss energy spectrum of several quantum mechanical models at finite
$\theta$ angle, which share certain properties in common with $SU(n)$ YangMills
theory and $SU(n)\times SU(n)$ bifundamental gauge theory.
In order to give a precise constraint, mixed 't~Hooft anomaly and global
inconsistency are studied in detail by gauging the continuous and discrete global
symmetries. We compute the energy spectrum of the models numerically and confirm the
constraints are satisfied.

Tetsuji Kimura 
Tokyo Institute of Technology 
Nonlocal N=1 Supersymmetry

We construct ${\cal N}=1$ supersymmetric nonlocal theories in four dimension. We discuss higher derivative extensions of chiral and vector superfields, and write down generic forms of Kahler potential and superpotential up to quadratic order. We derive the condition in which an auxiliary field remains nondynamical, and the dynamical scalars and fermions are free from the ghost degrees of freedom. We also investigate the nonlocal effects on the supersymmetry breaking and find that supertrace (mass) formula is significantly modified even at the tree level. This is a work in collaboration with Anupam Mazumdar, Toshifumi Noumi, and Masahide Yamaguchi.

Naoki Kiryu 
University of Tokyo 
Structure constants of operators on the Wilson loop at weak coupling

We study structure constants of local operators inserted on the Wilson loop in
${\cal N}=4$ super YangMills theory. We compute the structure constants in the
SU(2) sector at tree level using the correspondence between operators on the
Wilson loop and the open spin chain. The results are interpreted as the summation
over all possible ways of changing the signs of magnon momenta in the hexagon
form factors. This is consistent with a holographic description of the correlator as
the cubic open string vertex, which consists of one hexagonal patch and three
boundaries. We then conjecture that a similar expression should hold also at finite
coupling.

Toru Masuda 
Nara Women's University 
Vector profile of classical solutions for constant magnetic field background in open string field theory

Recently Ishibashi, Kishimoto and Takahashi constructed a classical
solution representing constant magnetic background, following the method
of Erler and Maccaferri. For the toroidally compactified background, we
investigate the vector profile of the solution. By a numerical
computation, we find that the vector profile of the solution has no
discontinuity in the both directions of the torus. This continuity is a
feature never seen in a gauge field theory on the torus.

Hiroaki Matsunaga 
Institute of Physics, Czech Academy of Sciences 
New looppropagating degrees in superstring field theory

In this presentation, we show that there exists a hidden gauge reducibility in
superstring field theory based on the small dynamical string field $\Psi \in
\mathcal{H}_{\beta \gamma }$ whose gauge variation is also small $\delta \Psi \in
\mathcal{H}_{\beta \gamma }$.
It requires additional ghostantighost fields in the gauge fixed or quantum gauge
theory, and thus changes the BatalinVilkovisky master action, which implies that
additional propagating degrees of freedom appear in the loop superstring
amplitudes via gauge choice of the field theory.
We present that the resultant master action can take a different and enlarged form,
and that there exist canonical transformations getting it back to the canonical
form.
On the basis of BatalinVilkovisky formalism, we clarify some exact relations in this
hidden or extended gauge structure of superstring field theory.

Atsushi Nakamula 
Kitasato University 
On magnetically charged limits of calorons

Instantons in pure YangMills theories on
partially periodic space $S^1\times\mathbb{R}^3$ are usually called
calorons. For the case of gauge group $SU(2)$, they are generally composed of
two constituent ``monopoles" with opposite magnetic charges.
This constituent structure often appears in the topological soliton
systems on periodic background, and makes many curious facts such as fractional topological charge,
etc.. For calorons, it occasionally occurs the cases that they have net
magnetic charges in $\mathbb{R}^3$. In this study, we consider the mechanism how the magnetic charges
appear for certain types of calorons.

Toshifumi Noumi 
Kobe University 
Coset for BMS: Graviton as a NambuGoldstone boson 
It has been known that graviton can be thought of as a NambuGoldstone (NG) boson for spontaneously broken GL(4) symmetry, which is a part of large gauge transformations associated to general covariance. In this interpretation all the components of the metric are identified with NG bosons, so that these NG modes include gauge degrees of freedom in addition to the two physical helicity modes of graviton. In this presentation I would like to revisit such a property of graviton based on the BondiMetznerSachs (BMS) symmetry, an infinite dimensional symmetry of asymptotically flat spacetimes. In particular I will illustrate that the viewpoint of asympotics resolves the mismatch between the number of broken symmetries and physical helicity modes. [Based on a collaboration with Y.Huang, T.Inami, K.Izumi and T.Kitamura]

Takayoshi Ootsuka 
Ochanomizu University 
Finsler connection on general Finsler manifold 
We give a Finsler connection on general Finsler manifold $(M,F)$, whose
Finsler metric may not be singular, as a nonlinear connection on point
manifold $M$ not on lineelement space $TM{0}$. In mathematics, Finsler
connection is usually defined on a linear connection on $TTM$, but our
nonlinear connection is defined directly from Finsler metric $F$ and
becomes a little easier calculation than conventional treatments. If the
Finsler metric $F(x,dx)$ is a Riemannian $F(x,dx)=\sqrt{g_{\mu\nu}
(x)dx^\mu dx^\nu}$, then our connection becomes Riemannian connection
on $TM$, and if $F$ is regular, which means rank of $\left(\frac{\partial^2 F}
{\partial dx^\mu \partial dx^\nu}\right)$ is less than ${\rm dim}M1$, then our
connection becomes nonlinear connection of Berwald's. In physics
problems, our Finsler connection can be applicable to Lagrangian systems
which include constrained dynamical systems, and suits to constructions of
deformed Einstein's theory because we do not use line element space but
point manifold, our spacetime.

Kazuhiro Sugita 
Nihon University 
On MultipleBrane Solution in Berkovits’ Open Superstring Field Theory 
The tachyon vacuum solution is constructed in Berkovits' string field theory. The tachyon vacuum solution can be written in the puregauge form by using a singular gauge transformation. We propose a candidate for the doublebrane solution by using the inverse of the gauge transformation. We should confirm that the energy of the solution is increased by a tension of a D9brane. However, since the computation of the energy may be difficult, we try to compute the Ellwood invariant.

Kento Sugiyama 
Shizuoka University 
Multicut solutions in ChernSimons Matrix Models 
We study ChernSimons matrix models including ABJM matrix model at large N.In
general, the behaviors of matrix models at large N are characterized by solutions
of saddle point equations of matrix eigenvalues. In this poster, we show the
existence of novel types of multicut solutions in ChernSimons matrix
models.These solutions appear by curious structure in these models.In ABJM
matrix models, we particularly argue that the one of our multicut solutions might
corresponds to a condensation of the membrane instantons.

Takahiro Uetoko 
Ritsumeikan University 
NonSUSY Dbranes with Vanishing Cylinder Amplitudes in Asymmetric Orbifolds 
We study the type II string vacua with chiral spacetime SUSY
constructed as asymmetric orbifolds of torus and K3
compactifications. Despite the fact that all the Dbranes are
nonBPS in any chiral SUSY vacua, we show that the relevant non
geometric vacua of asymmetric orbifolds allow rather generally
configurations of Dbranes which lead to vanishing cylinder
amplitudes, implying the bosefermi cancellation at each mass
level of the open string spectrum.

Tsuyoshi Yokoya 
Osaka University 
Entanglement Entropy for 2D Gauge Theories with Matters 
We investigate the entanglement entropy in 1+1dimensional SU(N) gauge theories
with various matter fields using the lattice regularization. Here we use extended
Hilbert space definition for entanglement entropy, which contains three
contributions; (1) classical Shannon entropy, (2) logarithm of the dimensions of
their representations, and (3) EPR Bell pairs. We explicitly show that entanglement
entropies (1) and (2) above indeed appear for various multiple "meson" states in
gauge theories with matter fields. Furthermore, we employ transfer matrix
formalism for gauge theory with fundamental matter field and analyze its ground
state using hopping parameter expansion (HPE). We evaluate the entanglement
entropy for the ground state and show that all (1), (2), (3) above appear in the HPE.
With these results, we discuss how the ground state entanglement entropy in the
continuum limit can be understood from the lattice ground state obtained in the
HPE. The work is in collaboration with Sinya Aoki, Norihiro Iizuka, and Kotaro
Tamaoka.

Ruidong Zhu 
University of Tokyo 
Orientifold realization of Dtype quiver gauge theories in topological vertex formalism and boundary state 
It is known that one can compute the instanton partition function of 5d N=1Atype quiver gauge theories (with Atype gauge groups) by using the refined topological vertex.
However, the generalization to other types of quivers is not clear from the viewpoint of topological string context.
In this poster presentation, we propose a prescription to realize the partition function of Dtype quiver gauge theories (with Atype gauge groups), in which a boundary state (for associated 2d Virasoro algebra) is used to represent the "effect" of orientifold in the topological vertex formalism. Supporting evidence is provided by checking that we have the correct doublequantized SeibergWitten curve (qqcharacter) for Dtype quiver gauge theories.

August 10 (Thu) 
Morning Session 1 (9:0010:10) 
Hiroshi Suzuki^{*} 
Kyushu University 
A new domainwall lattice formulation of chiral gauge theories
^{*} 
Recently, a new domainwall type lattice formulation of chiral gauge theories was
proposed by Grabowska and Kaplan. I review some aspects of this formulation,
especially on its gauge (non)invariance.

Morning Session 2 (10:3011:45) 
Hidenori Fukaya 
Osaka University 
AtiyahPatodiSinger index theorem for physicists

The AtiyahPatodiSinger (APS) index theorem attracts attention for
understanding physics on surface of materials in topological phases. The original theorem
written by the mathematicians is, however, too abstract and too general (allowing non
trivial metric and so on). In particular, the theorem imposes on the Dirac
operator the socalled APS boundary condition, which is nonlocal and unlikely to be
realized in physics. In this work, we attempt to reformulate the APS index in a
“physicistfriendly” way, for the Dirac fermion operator with U(1) or SU(N) gauge
group on a flat fourdimensional Euclidean space. Our method corresponds to a
generalization of the Fujikawa method on closed manifolds to that on manifolds
with boundary. We show that the same index can be obtained from the massive
Dirac operator, even when its boundary condition is local.
This presentation is based on a work in collaboration with T. Onogi (Osaka U.)
and S. Yamaguchi (Osaka U.).

Faisal Etminan 
University of Birjand 
Auxiliaryfield Monte Carlo method for strongly paired fermions

We present calculations for spin 1/2 fermions at unitarity limit, where the effective range of the interaction is zero and the scattering length is infinite. We compute the groundstate energy for a system of 6, 10,14 and 18 particles, with equal numbers of up and down spins in a periodic cube in the full groundstate constrainedpath Monte Carlo (CPMC) method using the extended, attractive Hubbard model, obtaining result for the universal parameter \xi.

Kazuya Yonekura 
Kavli IPMU 
Anomaly constraints on deconfinement and chiral phase transition

We study constraints on thermal phase transitions of ${\rm SU}(N_c)$ gauge
theories by using the 't~Hooft anomaly involving the center symmetry and chiral symmetry.
We consider two cases of massless fermions:
(i) adjoint fermions, and (ii) $N_f$ flavors of fundamental fermions with
a nontrivial greatest common divisor ${\rm gcd}(N_c,N_f) \neq 1$.
For the first case (i), we show that the chiral symmetry restoration in terms of the
standard LandauGinzburg effective action
is impossible at a temperature lower than that of deconfinement.
For the second case (ii), we introduce a modified version of the center symmetry
which we call centerflavor symmetry, and draw
similar conclusions under a certain technical definition of (de)confinement.
At zero temperature, our results give a partial explanation of the appearance of
dual magnetic gauge group in (supersymmetric) QCD when ${\rm gcd}(N_c,N_f) \neq 1$.

Morning Session 3 (12:0012:50) 
Ryo Yokokura 
Keio University 
Abelian tensor hierarchy and ChernSimons actions in 4D N=1 conformal supergravity

We consider ChernSimons actions of Abelian tensor hierarchy of pform gauge fields in fourdimensional N = 1 supergravity. Using conformal superspace formalism, we solve the constraints on the field strengths of the pform gauge superfields in the presence of the tensor hierarchy. The solutions are expressed by the prepotentials of the pform gauge superfields. We show the internal and superconformal transformation laws of the prepotentials. The descent formalism for the ChernSimons actions is exhibited.

Ryoko Yahagi 
Ochanomizu University 
Geodesic Equations of Superparticle using Super Finsler Connection

We extend the BrinkSchwarz superparticle model in 2dimensional
spacetime to curved spacetime. We identify its Lagrangian as a
super Finsler metric $F$ on (2,2)dimensional supermanifold $M$.
From this super Finsler metric $F$, we define a super Finsler
connection. Our connection defines parallel transports on the
manifold $M$, while most other Finsler connections are defined on
$TM$, which have less physical meaning.
The equations of motion of superparticle are reconstructed in the
form of geodesic equations by means of super Finsler connection.
We consider these geodesics equations lead a supergravity in the
same way of Einstein .gravity.

Afternoon Session 1 (14:0515:15) 
Kallol Sen^{*} 
Kavli IPMU 
A Mellin space approach to the conformal bootstrap
^{*} 
We describe in more detail our approach to the conformal bootstrap which uses the Mellin representation of CFTd four point functions and expands them in terms of crossing symmetric combinations of AdS$_{d+1}$ Witten exchange functions. We consider arbitrary external scalar operators and set up the conditions for consistency with the operator product expansion. Namely, we demand cancellation of spurious powers (of the cross ratios, in position space) which translate into spurious poles in Mellin space. We discuss two contexts in which we can immediately apply this method by imposing the simplest set of constraint equations. The first is the epsilon expansion. We mostly focus on the WilsonFisher fixed point as studied in an epsilon expansion about d=4. We reproduce Feynman diagram results for operator dimensions to $O(e^3)$ rather straightforwardly. This approach also yields new analytic predictions for OPE coefficients to the same order which fit nicely with recent numerical estimates for the Ising model (at e=1). We will also mention some leading order results for scalar theories near three and six dimensions. The second context is a large spin expansion, in any dimension, where we are able to reproduce and go a bit beyond some of the results recently obtained using the (double) light cone expansion. We also have a preliminary discussion about numerical implementation of the above bootstrap scheme in the absence of a small parameter.

Afternoon Session 2 (15:3516:50) 
Chika Hasegawa 
Rikkyo University 
Crosscap Bootstrap and $\epsilon$Expansion from Conformal Field Theory in $4\epsilon$ Dimensional Critical $\phi^4$Theory

In this talk, we will explain to solve a conformal bootstrap
equation in the critical $\phi^4$ theory on the $4\epsilon$
dimensional real projective space by $\epsilon$expansion and to
evaluate the $\phi$$\phi$ two pointsfunction to the first non
trivial order in $\epsilon$. We will also mention that our
results are consistent with both the results from perturbation
theory and the results of the $\epsilon$expansion from conformal
field theory. This talk is based on a current work in progress
collaborated with Yu Nakayama.

Hideki Kyono 
Kyoto University 
Spinning Geodesic Witten diagrams

We consider the socalled geodesic Witten diagrams (GWDs).
GWDs are proposed recently as the gravity dual of conformal blocks in CFT in
previous work (arXiv:1508.00501).
We generalize this relation to Witten diagrams with spinning external and internal
fields and we also consider its Mellin representation.

Junichi Sakamoto 
Kyoto University 
YangBaxter sigma models, conformal twists and noncommutative YangMills 
The YangBaxter sigma model is a systematic way to generate
integrable deformations of AdS$_{5}\times$S$^5$.
In this talk, we recast the deformations as seen by open strings,
where the metric is undeformed AdS$_{5}\times$S$^5$ with constant
string coupling, and all information about the deformation is
encoded in the noncommutative (NC) parameter.
In addition, we show that the unimodularity conditon on $r$
matrices
for supergravity solutions translates into the NC parameter being
divergencefree.
This talk is based on arXiv:1702.02861,
1705.02063.

Afternoon Session 3 (17:0518:20) 
Ivan Arraut 
Tokyo University of Science 
The triangular formulation of the NambuGoldstone theorem

The formulation of the NambuGoldstone theorem based on
triangle relations between pairs of Goldstone bosons with
the degenerate vacuum is based on the Quantum Yang Baxter
equations (QYBE). The number of Goldstone bosons as well as
their corresponding dispersion relations are natural
consequences of this approach. Here we evaluate the
triangle relations by using them in order to explain the
physics of different systems starting with the Kaon
condensation, etc. We also make an analogy with the way how
pairs of Dbranes interact inside the scenario of String
Theory.

Kenji Hotta 
Hokkaido University 
Thermal Vacuum State for Open Strings on BraneAntibrane Pairs in the Framework of Thermo Field Dynamics

Previously we have calculated the thermal vacuum state and the partition function for a single open superstring on DbraneantiDbrane pairs in the framework of thermo field dynamics. From this we can reproduce the free energy for multiple strings in the case of Matsubara method. We have computed the finite temperature effective potential and concluded that D9braneantiD9brane pairs are created near the Hagedorn temperature. However it is unsatisfactory to derive free energy in such a way, since the free energy for multiple strings should be obtained by only calculating the expectation value of the corresponding operator in the thermal vacuum state. In this talk, we compute the thermal vacuum state for multiple open superstrings based on free lightcone superstring field theory inspired by boundary string field theory. From this we can reproduce the free energy for open superstrings in the case of Matsubara method. On the other hand, we have already inverstigated the closed superstrings in the framework of thermo field dynamics. We discuss the possibility that open superstrings on D9braneantiD9brane pairs and closed superstrings play roles of 'holes' each others in the double copy states of thermo field dynamics.

Yukihiro Fujimoto 
National Institute of Technology, Oita College 
Dynamical generation of fermion mass hierarchy on an interval 
In the context of fivedimensional gauge theories with an interval extra
dimension, we propose a new mechanism to produce a fermion mass
hierarchy dynamically with yielding generations.
Point interactions, which are regarded as zerowidth branes and provide
extra boundary points, are responsible for producing fermion generations
and make chiral massless zero modes to be localized into segments.
Then extradimensionalcoordinate dependent VEV of the scalar, which is
produced by the Robin boundary condition, yields an exponential mass
hierarchy to the fermions through overlap integrals.
Positions of the point interactions are key ingredient to control the fermion
mass hierarchy and can be determined by minimizing the Casimir energy.
We show that fermion mass hierarchy appear dynamically after deriving the
VEV of the scalar and determining the positions of the point interactions by
the Casimir energy minimization.

August 11 (Fri) 
Morning Session 1 (9:0010:10) 
Takahiro Nishinaka ^{*} 
Ritsumeikan University 
Chiral algebras for 4d N≥2 superconformal field theories
^{*} 
It has recently been discovered
(in arXiv:1312.5344)
that every 4d N=2 or N>2
superconformal field theory (SCFT) has a special set of BPS local operators whose
OPEs are isomorphic to a 2d chiral algebra (or, vertex operator algebra). Among
other things, this new 4d2d relation is an extremely powerful tool to study 4d N=2
or N>2 SCFTs without Lagrangian description. In the main part of this talk, I will
review how this 4d2d relation emerges, how useful it is, and what is still to be
understood. I will also talk about our recent work on an exotic 4d N=2 SCFT and its
associated 2d chiral algebra.

Morning Session 2 (10:3011:45) 
Hirotaka Hayashi 
Tokai University 
5d/6d DE instantons from trivalent gluing of web diagrams

We propose a new prescription for computing the Nekrasov
partition functions of fivedimensional theories with eight
supercharges realized by gauging nonperturbative flavor
symmetries of three fivedimensional superconformal field
theories. The topological vertex formalism gives a way to
compute the partition functions of the matter theories with
flavor instanton backgrounds, and the gauging is achieved by
summing over Young diagrams. We apply the prescription to
calculate the Nekrasov partition functions of various five
dimensional gauge theories such as $SO(2N)$ gauge theories with
or without hypermultiplets in the vector representation and
also pure $E_6$, $E_7$, $E_8$ gauge theories. Furthermore, the
technique can be applied to computations of the Nekrasov
partition functions of fivedimensional theories which arise
from circle compactifications of sixdimensional minimal
superconformal field theories characterized by the gauge groups
$SU(3)$, $SO(8)$, $E_6$, $E_7$, $E_8$. We exemplify our method
by comparing some of the obtained partition functions with
known results and find perfect agreement.

Futoshi Yagi 
Technion 
Discrete theta angle from O5plane 
We consider 5d $\mathcal{N}=1$ $Sp(1)$ gauge theory with no
matter field based on a brane configuration with an $O5$
plane. It is known that two different theories exist
depending on the discrete theta angle $\theta=0, \pi$ (mod
$2\pi$). A naive brane configuration with an $O5$plane in
a weak coupling region, however, does not distinguish two
different theories. By considering We devise a technique
for computing 5d SeibergWitten curve of the two theories
based on the brane configuration and show two theories have
distinct phase structures in their Coulomb branch by taking
a decompactification limit of each SeibergWitten curve,
leading to different strong coupling behavior.

Hiroyuki Shimizu 
Kavli IPMU 
Small instanton transitions for M5 fractions 
M5branes on an ADE singularity are described by certain sixdimensional superconformal eld theories. Their Higgs moduli spaces contain information about various dynamical processes for the M5s. However, they are not directly accessible due to the lack of a Lagrangian formulation. Using anomaly matching, we compute their dimensions. The result implies that M5 fractions can recombine in several different ways, where the M5s are leaving behind frozen versions of the singularity. We also check the Higgs dimension formula by comparing it with various existing conjectures for the CFTs one obtains by torus compactifications down to four and three dimensions. As byproducts, we also make some new conjectures about compactifications of theories not previously considered.

Morning Session 3 (12:0013:15) 
Tadashi Okazaki 
National Taiwan University 
Emergence of Supergroups from Junctions of MBranes

It has been recently argued that supergroups emerge from junctions of branes in string theory and Mtheory
(arXiv:1410.1175,
arXiv:1703.00982,
arXiv:1512.06646).
We study the BPS indices of the supergroup WZW models which may describe certain junctions of M2branes and M5branes. We find that the vacuum configurations of the brane system are in onetoone correspondence with the weight diagrams of the associated Lie superalgebras. For the case arising from the BLG model an explicit expression can be given in terms of a mock modular form. We discuss the physical implications of the mock modularity and its modular completion of the index, at the cost of a holomorphic anomaly. We will also consider the alternative matrix quantum mechanical descriptions of the supergroup WZW models.

Yuta Sekiguchi 
University of Bern 
Twisted Wilson Line Defects from Flux Backgrounds 
We construct supersymmetric gauge theories with Wilson lines for a
connection from branes in a flux background in string theory.

Takafumi Okubo 
Tokyo Institute of Technology 
Quantum periods and prepotential in N=2 SU(2) SQCD 
The SeibergWitten solution of the $\mathcal{N}=2$ supersymmetric
gauge theory enables us to understand both weak and strong
coupling physics of the theory. When we quantize the Seiberg
Witten curve, the solution describes the theory in the Nekrasov
Shatashvili (NS) limit of the $\Omega $ background. We study
$\mathcal{N}=2$ $SU(2)$ supersymmetric QCD with massive
hypermultiplets in the NS limit. The prepotential of the low
energy effective theory is determined by the WKB solution of the
quantum SeibergWitten curve. We calculate the deformed Seiberg
Witten periods around the massless monoplole point explicitly up
to the fourth order in the deformation parameter.
