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

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Book cover Infinite Dimensional Algebras and Quantum Integrable Systems

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

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Abstract

The sheaves of conformal blocks and conformal coinvariants of the twisted WZW model have a factorisation property and are locally free even at the boundary of the moduli space, where the elliptic KZ equations and the Baxter-Belavin elliptic r-matrix degenerate to the trigonometric KZ equations and the trigonometric r-matrix, respectively. Etingof’s construction of the elliptic KZ equations is geometrically interpreted.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ochanomizu University, Otsuka 2-1-1, Bunkyo-ku, Tokyo, 112-8610, Japan

    Takashi Takebe

Authors
  1. Takashi Takebe
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Editor information

Editors and Affiliations

  1. St. Petersburg Department of Steklov Mathematical Institute, Russian Academy of Sciences, Fontaka 27, 191011, St. Petersburg, Russia

    Petr P. Kulish

  2. Departamento de Matemática, Faculdade de Ciências e Tecnologia, Universidade do Algarve, Campus de Gambelas, 8005-139, Faro, Portugal

    Nenad Manojlovich

  3. IInd Institute for Theoretical Physics, University of Hamburg, Luruper Chaussee 149, 22761, Hamburg, Germany

    Henning Samtleben

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Takebe, T. (2005). Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II. In: Kulish, P.P., Manojlovich, N., Samtleben, H. (eds) Infinite Dimensional Algebras and Quantum Integrable Systems. Progress in Mathematics, vol 237. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7341-5_7

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