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

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

2003-12-06

arxiv.org/abs/math/0312138v2

Mathematics

Quantum Algebra

22 pages, 1 figure (psfrag.sty used), contribution to the Proceedings of "Infinite Dimensional Algebras and Integrable Systems

Scientific paper

10.1142/S0217751X04020555

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.

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