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Quantum Groups in Two-Dimensional Physics : Cambridge Monographs on Mathematical Physics - Cisar Gomez

Quantum Groups in Two-Dimensional Physics

Cambridge Monographs on Mathematical Physics

Hardcover Published: 26th April 1996
ISBN: 9780521460651
Number Of Pages: 476

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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.

"The book is written in a simple and lucid manner, that allows one to suggest it for an audience with no previous acquaintance with the subject. This book will be of use to graduate students and researchers in theoretical physics and applied mathematics interested in integrable systems, string theory and conformal field theory." Audrey V. Tsiganov, Mathematical Reviews

Preface
S-matrices, spin chains and vertex models
The Yang-Baxter equation - a first look
Bethe ansatz - some examples
The eight-vertex model
Face models
Quantum groups - mathematical review
Integrable models at roots of unit
Two-dimensional conformal field theories
Duality in conformal field theories
Coulomb gas representation
Quantum groups in conformal field theory
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521460651
ISBN-10: 0521460654
Series: Cambridge Monographs on Mathematical Physics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 476
Published: 26th April 1996
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 24.7 x 17.4  x 2.7
Weight (kg): 0.95

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