Cesar Gomez, Cisar Gomez, Martm Ruiz-Altaba

Quantum Groups in Two-Dimensional Physics

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 476
• Erscheinungstermin: 5. September 2011
• Englisch
• Abmessung: 250mm x 175mm x 30mm
• Gewicht: 994g
• ISBN-13: 9780521460651
• ISBN-10: 0521460654
• Artikelnr.: 22167794

Inhaltsangabe

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.