Description
Book SynopsisIn 2007, Professor Akihiro Tsuchiya of Nagoya University reached the retirement age of sixty-three. He has played a significant role in mathematical physics over the decades, most particularly in the foundation of conformal field theory, which was the first nontrivial example of a mathematically rigorous quantum field theory.This volume is the proceedings of the international conference at the occasion. Included are: Conformal field theories and related topics such as solvable statistical models, representation theory of affine algebras, monodromy preserving deformations, and string theories. Readers interested in these subjects will find exciting and stimulating insights and questions from these articles.Published by Mathematical Society of Japan and distributed by World Scientific Publishing Co. for all markets except North America
Table of Contents
- The triplet vertex operator algebra $W(p)$ and the restricted quantum group $\bar{U}_q(sl_2)$ at $q=e^{\pi i/p}$ by K. Nagatomo and A. Tsuchiya
- Representation theory of W-algebras, II by T. Arakawa
- Chiral Potts model and the discrete Sine-Gordon model at roots of unity by V. V. Bazhanov
- Modular forms and elliptic genera for ALE spaces by T. Eguchi, Y. Sugawara, and A. Taormina
- Fermionic formulas for characters of $(1,p)$ logarithmic model in $\Phi_{2,1}$ quasiparticle realisation by B. Feigin, E. Feigin<, and I. Tipunin
- Quantization of soliton systems and Langlands duality by B. Feigin and E. Frenkel
- Quantizing the Backlund transformations of Painleve equations and the quantum discrete Painleve VI equation by K. Hasegawa
- Quantum groups and quantization of Weyl group symmetries of Painleve systems by G. Kuroki
- On Frenkel-Mukhin algorithm for $q$-character of quantum affine algebras by W. Nakai and T. Nakanishi
- Perverse coherent sheaves on blow-up. I. A quiver description by H. Nakajima and K. Yoshioka
- Differential Fay identities and auxiliary linear problem of integrable hierarchies by K. Takasaki
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