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Cambridge University Press is committed to keeping scholarly work in print for as long as possible. A short print-run of this academic paperback has been produced by digital technology, enabling Cambridge to keep the book in print for specialists and students when other traditional methods of printing would have been infeasible.

This 1996 book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. It covers S-matrices, spin chains, vertex models, Yang-Baxter algebras, the Bethe ansatz, quantum groups, integrable models, two-dimensional conformal field theories and superconformal field theories. Many diagrams and exercises are included.

Liquid metals remain of both fundamental and technological interest and the concepts needed to understand their properties are set out in this book, starting from a survey of the basic experimental facts to be explained.

This is a pedagogical introduction to the harmonic superspace method in extended supersymmetry. Inspired by exciting developments in superstring theory, it provides a systematic treatment of the quantum field theories with N=2 and N=3 supersymmetry in harmonic superspace. The authors present the harmonic superspace approach as a means of providing an off-shell description of the N=2 supersymmetric theories, both at the classical and quantum levels. Furthermore, they show how it offers a unique way to construct an off-shell formulation of a theory with higher supersymmetry, namely the N=3 supersymmetric Yang-Mills theory. Harmonic Superspace makes manifest many remarkable geometric properties of the N=2 theories, for example, the one-to-one correspondence between N=2 supersymmetric matter, and hyper-Kahler and quaternionic manifolds. This book will be of interest to researchers and graduate students working in the areas of supersymmetric quantum field theory, string theory and complex geometries.

This text introduces the theoretical framework for describing the quark-gluon plasma, an important new state of matter. The first part is a self-contained introduction to the principles of relativistic thermal field theory. The second part details recent developments. Each chapter contains exercises and a guide to the literature.

The quantum inverse scattering method is a means of finding exact solutions of two-dimensional models in quantum field theory and statistical physics. Here the authors describe some of the most recent and general approaches and include some significant new results.

'This is an excellent book and admirably lives up to the promise implied in its title in giving a thorough treatment of the mathematical structure underlying the theory of general relativity.' T. R. Carson, Observatory

This book gives an account of the properties of the interacting boson model. In particular, this book presents the mathematical techniques used to analyze the structure of the model.

This book gives an introduction to Lie algebras and their representations. Lie algebras have many applications in mathematics and physics, and any physicist or applied mathematician must nowadays be well acquainted with them.