Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations

Abstract

Solutions of the qKZ equation associated with the quantum affine algebra Uq(sl2) and its two dimensional evaluation representation are studied. The integral formulae derived from the free field realization of intertwining operators of q-Wakimoto modules are shown to coincide with those of Tarasov and Varchenko.

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