Cisar Gómez, Martm Ruiz-Altaba, German SierraCambridge University Press, 4/18/1996EAN 9780521460651, ISBN10: 0521460654Hardcover, 476 pages, 24.4 x 17 x 2.8 cmLanguage: EnglishThis 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.Preface1. S-matrices, spin chains and vertex models2. The Yang–Baxter equation - a first look3. Bethe ansatz - some examples4. The eight-vertex model5. Face models6. Quantum groups - mathematical review7. Integrable models at roots of unit8. Two-dimensional conformal field theories9. Duality in conformal field theories10. Coulomb gas representation11. Quantum groups in conformal field theory.
