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The integral formula for the solutions of the quantum Knizhnik-Zamolodchikov equation associated with Uq(sln) for |q|=1

Tetsuji Miwa, Yoshihiro Takeyama

math.QAarXiv:math/9902099

Abstract

We write the integral formula of Tarasov-Varchenko type for the solutions to the quantum Knizhnik-Zamolodchikov associated with a tensor product the of vector representations of sln. We consider the case where the deformation parameter q satisfies |q|=1. We use the bosonization of the type II vertex operators in order to find the hypergeometric pairing in this setting.

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