Explicit Rational Solutions of Knizhnik-Zamolodchikov Equation

TL;DR

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Contribution

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Abstract

We consider the Knizhnik-Zamolodchikov system of linear differential equations. The coefficients of this system are rational functions generated by elements of the symmetric group $S_{n}$. We assume that parameter $\rho=\pm{1}$. In previous paper we proved that the fundamental solution of the corresponding KZ-equation is rational. Now we construct this solution in the explicit form.