Rational Solution of the KZ equation (example)

Andrey Tydnyuk

Published 2006-12-06Version 1

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.