The integral formula for the solutions of the quantum Knizhnik-Zamolodchikov equation associated with $U_q(\hat{sl}_n)$ for |q|=1

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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 sl_n. 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.
submitted to the proceedings for SIDE III meeting at Sabaudia near Rome

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