Solutions of Trigonometric KZ Equations satisfy Dynamical Difference Equations
Abstract
The trigonometric KZ equations associated to a Lie algebra depend on a parameter λ in where is a Cartan subalgebra of . A system of dynamical difference equations with respect to λ compatible with the KZ equations is introduced in Tarasov and Varchenko. We prove that the standard hypergeometric solutions of the trigonometric KZ equations associated to slN also satisfy the dynamical difference equations.
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