Infinite Dimensional Algebras and Quantum Integrable Systems

Edward Frenkel (auth.), Petr P. Kulish, Nenad Manojlovich, Henning Samtleben (eds.)9783764372156, 9783764373412, 376437215X, 081767215X

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. Recent developments in the theory of infinite dimensional algebras and their applications to quantum integrable systems are reviewed by some of the leading experts in the field. The volume will be of interest to a broad audience from graduate students to researchers in mathematical physics and related fields.

Contributors:

E. Frenkel
O.A. Castro-Alvaredo and A. Fring
V.G. Kac and M. Wakimoto
A. Gerasimov, S. Kharchev and D. Lebedev
H.E. Boos, V.E. Korepin and F.A. Smirnov
Kanehisa Takasaki
Takashi Takebe
L.A. Takhtajan and Lee-Peng Teo
V. Tarasov

Table of contents :
Gaudin Model and Opers….Pages 1-58
Integrable Models with Unstable Particles….Pages 59-87
Quantum Reduction in the Twisted Case….Pages 89-131
Representation Theory and Quantum Integrability….Pages 133-156
Connecting Lattice and Relativistic Models via Conformal Field Theory….Pages 157-173
Elliptic Spectral Parameter and Infinite-Dimensional Grassmann Variety….Pages 175-203
Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II….Pages 205-224
Weil-Petersson Geometry of the Universal Teichmüller Space….Pages 225-233
Duality for Knizhinik-Zamolodchikov and Dynamical Equations, and Hypergeometric Integrals….Pages 235-263