Jackson Integral Representations for Solutions to the Quantized Knizhnik-Zamolodchikov Equation
Vitaly Tarasov, Alexander Varchenko
Abstract
The quantized Knizhnik-Zamolodchikov equations associated with the trigonometric R-matrix or the rational R-matrix of the A-type are considered. Jackson integral representations for solutions of these equations are described. Asymptotic solutions for a holonomic system of difference equations are constructed. Relations between the integral representations and the Bethe ansatz are indicated.
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