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Hypergeometric Solutions of the qKZ Equation at Level Zero

Vitaly Tarasov

math.QAarXiv:math/0112009

Abstract

We discuss relations between different integral formulae for solutions of the quantized Knizhnik-Zamolodchikov (qKZ) equation at level zero in the Uq(sl2) case for |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 sl2 case done by A.Nakayashiki, S.Pakuliak and the author [q-alg/9712002].

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