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Rational Solution of the KZ equation (example)

2006/12/06 by Andrey Tydnyuk, Tydnyuk, Andrey · 1 citation
Physics and Astronomy · Mathematics · #Nonlinear Waves and Solitons #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.math/0612153

Abstract

We investigate the Knizhnik-Zamolodchikov linear differential system. The coefficients of this system are rational functions. We prove that the solution of the KZ system is rational when k is equal to two and n is equal to three. While doing so, we found the coefficients of expansion in a neighborhood of a singular point.

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