Infinite Dimensional Algebras and Quantum Integrable Systems

✍ Scribed by Petr P. Kulish, Nenad Manojlovic, Henning Samtleben

• Publisher: Birkhäuser Boston
• Year: 2005
• Tongue: English
• Leaves: 266
• Series: Progress in Mathematics
• Edition: 1
• Category: Library

✦ Synopsis

This volume presents the invited lectures of the workshop "Infinite Dimensional Algebras and Quantum Integrable Systems" held in July 2003 at the University of Algarve, Faro, Portugal, as a satellite workshop of the XIV International Congress on Mathematical Physics. In it, recent developments in the theory of infinite dimensional algebras, and their applications to quantum integrable systems, are reviewed by leading experts in the field.

✦ Table of Contents

Contents......Page 6
Preface......Page 7
Gaudin Model and Opers......Page 9
Integrable Models with Unstable Particles......Page 67
Quantum Reduction in the Twisted Case......Page 96
Representation Theory and Quantum Integrability......Page 139
Connecting Lattice and Relativistic Models via Conformal Field Theory......Page 163
Elliptic Spectral Parameter and Infinite-Dimensional Grassmann Variety......Page 180
Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II......Page 209
Weil-Petersson Geometry of the Universal Teichmüller Space......Page 229
Duality for Knizhinik-Zamolodchikov and Dynamical Equations, and Hypergeometric Integrals......Page 238