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Quantum Groups in Two-Dimensional Physics

$113.00 (C)

Part of Cambridge Monographs on Mathematical Physics

  • Date Published: September 2005
  • availability: Available
  • format: Paperback
  • isbn: 9780521020046

$ 113.00 (C)

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About the Authors
  • 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.

    • Quantum groups of great current interest
    • Special emphasis on explaining underlying mathematical tools
    • One of the few books available that show applications in physics
    • Highly illustrated to explain key concepts
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    Reviews & endorsements

    "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

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    Product details

    • Date Published: September 2005
    • format: Paperback
    • isbn: 9780521020046
    • length: 476 pages
    • dimensions: 244 x 170 x 24 mm
    • weight: 0.75kg
    • contains: 125 b/w illus. 20 tables 150 exercises
    • availability: Available
  • Table of Contents

    1. S-matrices, spin chains and vertex models
    2. The Yang–Baxter equation - a first look
    3. Bethe ansatz - some examples
    4. The eight-vertex model
    5. Face models
    6. Quantum groups - mathematical review
    7. Integrable models at roots of unit
    8. Two-dimensional conformal field theories
    9. Duality in conformal field theories
    10. Coulomb gas representation
    11. Quantum groups in conformal field theory.

  • Authors

    Cisar Gómez, Consejo Superior de Investigaciones Cientificas, Madrid

    Martm Ruiz-Altaba, Université de Genève

    German Sierra, Consejo Superior de Investigaciones Cientificas, Madrid

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