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Progress of Theoretical Physics Supplement No. 177

30 Years of Mathematical Methods in High Energy Physics
In Honor of Professor Tohru Eguchi's 60th Birthday

Proceedings of the International Conference

Edited by T. Takayanagi and S. Yahikozawa

This volume of the Progress of Theoretical Physics Supplement contains the proceedings of the international conference ``30 Years of Mathematical Methods in High Energy Physics", which was held March 17--19, 2008, at the Research Institute for Mathematical Sciences, Kyoto University.

This international conference looked back on the progress in high energy physics of the past 30 years and aimed to foresee the next 30 years. During the past 30 years, there has been remarkable progress in theoretical high energy physics, particularly in such areas as gauge theories, quantum gravity, superstring theory, and related mathematics. These developments have also inspired progress in other areas of science, such as condensed matter physics, cosmology and pure mathematics. However the central quest of this field is to discover the fundamental laws of physics, and to answer some of the most basic questions of science, which include the origin and the fate of the universe. In this conference, there were a number of interesting ideas presented about developments in the next 30 years. Also, this conference was organized in celebration of the 30th anniversary of the discovery of the Eguchi-Hanson instanton and Professor Eguchi's 60th birthday. He is now Director of YITP at Kyoto University.

The main topics in this conference were the following:

(1) Recent developments in string theory
        • Gauge/Gravity correspondence and cosmology
        • Physics of black holes
        • Quantization of string theory with RR fluxes
        • Topological string
        • D-Branes and D-Modules
        • Integrability of spin chain, etc.
(2) Application of string theory
        • Holographic QCD
        • Semiconductor
        • Non-Abelian gauge theories and fluid dynamics, etc.
(3) Wide field
        • Exact solutions in N = 2 SUSY gauge theories
        • Gauge mediation
        • New structure in the XXZ model
        • Non-rational CFT's, etc.

In the conference, active researchers at the forefront of each field presented up-to date research outcomes, and vigorous discussions were also held. There were 192 lively participants in total, including many physicists, mathematicians, postdocs, and graduate students. Professor Y. Nambu (Norbel prize laureate), who was one of the participants, impressively spoke about Professor T. Eguchi in the conference banquet.

The photos about the participants and the invited speakers can be viewed at the conference web site:

We believe that the conference contributes to further development in the fields. This volume will serve as a source of information, which can look over the recent progress, on the area not only for experts but also for researchers and students interested in new subjects.

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