Smirnov's Integrals and Quantum Knizhnik-Zamolodchikov Equation of Level 0

Abstract

We study the quantum Knizhnik-Zamolodchikov equation of level 0 associated with the spin 1/2 representation of Uq ( s l 2). We find an integral formula for solutions in the case of an arbitrary total spin and |q|<1. In the formula, different solutions can be obtained by taking different integral kernels with the cycle of integration being fixed.

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