Quantum Groups in Two-Dimensional Physics

Erscheinungsjahr 2005
ISBN: 978-0-521-02004-6
Verlag: Cambridge University Press

Buch, Englisch, 475 Seiten, Format (B × H): 170 mm x 244 mm, Gewicht: 814 g

Reihe: Cambridge Monographs on Mathematical Physics

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, 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.

Autoren/Hrsg.

Gómez, Cisar

Ruiz-Altaba, Martm

Sierra, German

Fachgebiete

• Naturwissenschaften Physik Physik Allgemein Experimentalphysik
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Naturwissenschaften Physik Physik Allgemein Geschichte der Physik

Inhaltsverzeichnis

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.