Integrable Quantum Field Theories

by L. Bonora (Editor)

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 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 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 progress has been reported in all of the above topics both from physicists and mathematicians. One can recognize three broad groups of 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.

341 pages, Hardcover

First published August 31, 1993