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Hypergeometric Solutions of the qKZ Equation at Level Zero

Vitaly Tarasov
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Abstract

We discuss relations between different integral formulae for solutions of the quantized Knizhnik-Zamolodchikov (qKZ) equation at level zero in the $U_q(sl_2)$ 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 $sl_2$ case done by A.Nakayashiki, S.Pakuliak and the author [q-alg/9712002].

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Vitaly Tarasov. 2001-12-01. Hypergeometric Solutions of the qKZ Equation at Level Zero. https://arxiv.org/abs/math/0112009

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