Synopses & Reviews
Synopsis
This volume contains the invited contributions to the NATO Advanced Research Workshop on Integrable Quantum Field Theories held at the Villa Olmo, Como, Italy, September 14-18, 1992. About 70 researchers from all over world gathered at this in- terdisciplinary workshop, which turned out to be timely and very stimulating. We are grateful to the institutions that made it possible: the NATO Scientific Affairs Divi- sion, the Istituto Nazionale di Fisica Nucleare and the Scuola Internazionale Superiore di Studi Avanzati for financial support, and the Centro A.Volta for hospitality. In the past decades integrability was mostly explored in the framework of mathe- matical physics. However, in the last few years it has become a prominent subject in many domains of theoretical physics: two dimensional statistical mechanical models, two-dimensional conformal field theories and their perturbations, matrix models of two-dimensional gravity. This trend has been confirmed by the workshop: progress has been reported in all of the above topics both from physicists and mathematicians. One can recognize three broad groups of subjects: 1) 2D lattice models and off-critical solvable models, 2) Kac-Moody algebras and their role in integrable theories, 3) matrix models of string theory and their relation with topological and integrable field theories.
Table of Contents
Quantum Affine Symmetry and Correlation Functions of the XXZ Model; T. Miwa. A ThreeDimensional Solvable Model; V.V. Bazhanov, R.J. Baxter. Elliptic Parametrization of the Three-State Chiral Potts Model; R.J. Baxter. An Introduction to Yangian Symmetries; D. Bernard. On the Quantum-Group Description of the Massive Thirring (Sine-Gordon) Model; C. Destri. The Operator Algebra of the Discrete State Operators in 2D Gravity with Nonvanishing Cosmological Constant; Vl.S. Dotsenko. Hidden Geometrical Structures in Integrable Models; P. Dorey. Hidden Geometrical Structures in Integrable Models; P. Dorey. Picard-Fuchs Equations and Low Energy Couplings in Superstring Theories; R.D'Auria, S. Ferrara. On the Structure of Rational Field Theory; D. Gepner. Non-Perturbative Computability Vs. Integrability in Susy QFT's; S. Cecotti. Quantum Integrability and Exact S-Matrices for Affine Toda Theories; D. Zanon. 10 additional articles. Index.