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

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

1999-02-17

arxiv.org/abs/math/9902099v2

Mathematics

Quantum Algebra

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

Scientific paper

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.

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