English

Hypergeometric Solutions of the qKZ Equation at Level Zero

Quantum Algebra 2007-05-23 v1

Abstract

We discuss relations between different integral formulae for solutions of the quantized Knizhnik-Zamolodchikov (qKZ) equation at level zero in the Uq(sl2)U_q(sl_2) case for q<1|q|<1. Smirnov type formulae of M.Jimbo et al. are derived from the general approach of A.Varchenko and the author. The consideration is parallel to the qKZ equation in the rational sl2sl_2 case done by A.Nakayashiki, S.Pakuliak and the author [q-alg/9712002].

Keywords

Cite

@article{arxiv.math/0112009,
  title  = {Hypergeometric Solutions of the qKZ Equation at Level Zero},
  author = {Vitaly Tarasov},
  journal= {arXiv preprint arXiv:math/0112009},
  year   = {2007}
}

Comments

8 pages, latex 2.09, czjphys209.sty required

R2 v1 2026-07-22T16:41:54.987Z