English

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

Quantum Algebra 2009-11-10 v2 High Energy Physics - Theory Mathematical Physics math.MP

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,o respectively. Etingof's construction of the elliptic KZ equations is geometrically interpreted.

Keywords

Cite

@article{arxiv.math/0312138,
  title  = {Trigonometric Degeneration and Orbifold Wess-Zumino-Witten Model. II},
  author = {Takashi Takebe},
  journal= {arXiv preprint arXiv:math/0312138},
  year   = {2009}
}

Comments

22 pages, 1 figure (psfrag.sty used), contribution to the Proceedings of "Infinite Dimensional Algebras and Integrable Systems", Faro, Portugal, on July 2003; ver. 2, typos corrected, references updated