Integrable Systems in Quantum Field Theory and Statistical Mechanics

Advanced Studies in Pure Mathematics, Volume 19: Integrable Systems in Quantum Field Theory and Statistical Mechanics provides information pertinent to the advances in the study of pure mathematics. This book covers a variety of topics, including statistical mechanics, eigenvalue spectrum, conformal field theory, quantum groups and integrable models, integrable field theory, and conformal invariant models. Organized into 17 chapters, this volume begins with an overview of the eigenvalues of the three-state superintegrable chiral Potts model of the associated spin chain by use of a functional equation. This text then illustrates the importance of the star-triangle equation with a few results for the two-dimensional Ising model. Other chapters consider the conformal field theories on manifolds with a boundary, and the constraints placed by modular invariance on their partition functions. This book discusses as well the topological invariants for knots and links. The final chapter deals with equations of motion for two-dimensional quantum field theory. This book is a valuable resource for mathematicians.