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Infinite Dimensional Algebras and Quantum Integrable Systems

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. Petr P. Kulish

    1. St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Russia

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  2. Nenad Manojlovich

    1. Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade do Algarve, Faro, Portugal

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  3. Henning Samtleben

    1. IInd Institute for Theoretical Physics, University of Hamburg, Hamburg, Germany

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  • Reviews of recent progress presented by some of the leading experts in the field, including E. Frenkel, V. Kac and M. Wakimoto, L. Takhtajan and L.-P. Teo
  • Provides a pedagogical introduction accessible also to non-experts

Part of the book series: Progress in Mathematics (PM, volume 237)

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Table of contents (9 papers)

  1. Front Matter

    Pages i-viii
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  2. Gaudin Model and Opers

    • Edward Frenkel
    Pages 1-58

  3. Integrable Models with Unstable Particles

    • Olalla Castro-Alvaredo, Andreas Fring
    Pages 59-87

  4. Quantum Reduction in the Twisted Case

    • Victor G. Kac, Minoru Wakimoto
    Pages 89-131

  5. Representation Theory and Quantum Integrability

    • A. Gerasimov, S. Kharchev, D. Lebedev
    Pages 133-156

  6. Connecting Lattice and Relativistic Models via Conformal Field Theory

    • H.E. Boos, V.E. Korepin, F.A. Smirnov
    Pages 157-173

  7. Elliptic Spectral Parameter and Infinite-Dimensional Grassmann Variety

    • Kanehisa Takasaki
    Pages 175-203

  8. Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II

    • Takashi Takebe
    Pages 205-224

  9. Weil-Petersson Geometry of the Universal Teichmüller Space

    • Leon A. Takhtajan, Lee-Peng Teo
    Pages 225-233

  10. Duality for Knizhinik-Zamolodchikov and Dynamical Equations, and Hypergeometric Integrals

    • V. Tarasov
    Pages 235-263
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About this book

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

Editors and Affiliations

  • St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences, St. Petersburg, Russia

    Petr P. Kulish

  • Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade do Algarve, Faro, Portugal

    Nenad Manojlovich

  • IInd Institute for Theoretical Physics, University of Hamburg, Hamburg, Germany

    Henning Samtleben

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