Rational Solution of the KZ equation (example)

Details Rational Solution of the KZ equation (example) Rational Solution of the KZ equation (example)

2006-12-06

arxiv.org/abs/math/0612153v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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