Quantum Groups in Two-Dimensional Physics (Cambridge Monographs on Mathematical Physics) - Softcover

Gómez, Cisar; Ruiz-Altaba, Martm; Sierra, German

Softcover

ISBN 10: 0521020042 ISBN 13: 9780521020046

Publisher: Cambridge University Press, 2005

Synopsis

This book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. The book begins with a brief introduction to S-matrices, spin chains and vertex models as a prelude to the study of Yang-Baxter algebras and the Bethe ansatz. The authors then introduce the basic ideas of integrable systems, giving particular emphasis to vertex and face models. They give special attention to the underlying mathematical tools, including braid groups, knot invariants, and towers of algebras. The authors then go on to give a detailed introduction to quantum groups before addressing integrable models, two-dimensional conformal field theories, and superconformal field theories. The book contains many diagrams and exercises to illustrate key points in the text and will be appropriate for researchers and graduate students in theoretical physics and mathematics.

About this title

Book Description

This book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. After a brief introduction to S-matrices, spin chains and vertex models,Yang-Baxter algebras and the Bethe ansatz, the basic ideas of integrable systems are introduced. The book then goes on to give a detailed introduction to quantum groups as a prelude to chapters on integrable models, two-dimensional conformal field theories and superconformal field theories. Many diagrams and exercises are included.

From the Back Cover

This book is an introduction to integrability and conformal field theory in two dimensions using quantum groups. The book begins with a brief introduction to S-matrices, spin chains and vertex models as a prelude to the study of Yang-Baxter algebras and the Bethe ansatz. The basic ideas of integrable systems are then introduced, with particular emphasis on vertex and face models. Special attention is given to explaining the underlying mathematical tools, including braid groups, knot invariants and towers of algebras. The book then goes on to give a detailed introduction to quantum groups as a prelude to chapters on integrable models, two-dimensional conformal field theories and super-conformal field theories. The book contains many diagrams and exercises to illustrate key points in the text. This book will be of interest to graduate students and researchers in theoretical physics and applied mathematics interested in integrable systems, string theory and conformal field theory.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2005
• ISBN 10: 0521020042
• ISBN 13: 9780521020046
• Binding: Paperback
• Language: English
• Number of pages: 476