Quantum groups in two-dimensional physics
著者
書誌事項
Quantum groups in two-dimensional physics
（Cambridge monographs on mathematical physics）
Cambridge University Press, 2005
- : pbk
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注記
Includes bibliographical references (p. 439-451) and index
First hardback version published by Cambridge University Press c1996
内容説明・目次
内容説明
This 1996 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, giving particular emphasis to vertex and face models. Special attention is given to explaining the underlying mathematical tools, including braid groups, knot invariants and towers of algebra. 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. The book contains many diagrams and exercises to illustrate key points in the text.
目次
- Preface
- 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.
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