August 4th-7th, 2014
Yukawa Institute for Theoretical Physics, Kyoto University
"Physics at the Entangling Surface "
Kantaro Ohmori (University of Tokyo)
To consider the entanglement between the spatial region A and its complement
in a QFT, we need to assign a Hilbert space HA to the region, by making a
certain choice on the boundary ∂ A. We argue that a small physical
boundary is implicitly inserted at the entangling surface after the
renomalization group flow, and the boundary parametrizes non-universality of
entanglement entropies.
We investigate these issues in the context of 2d CFTs, and show that we can
indeed read off the Cardy states of
the c=1/2 minimal model from a curious limit of entanglement Renyi entropy
of the critical Ising chain.
We further show that the choice of the boundary condition at ∂ A affects the
subleading contributions to the entanglement Renyi entropy, and also point
out that the leading piece of the single segment entanglement entropy is
proportional to ceff appearing in the Cardy formula instead of c
appearing in the commutator of the Virasoro generators in the case of
non-compact 2d CFTs.
This presentation is based on the work with Yuji Tachikawa.
Reference: arXiv.1406.4167
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