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arXiv · 0903.3873

About the Rationality of the Knizhnik-Zamolodchikov Equation Solution

Lev Sakhnovich
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Abstract

In the paper the solution of KZ system (n=4, m=2) is constructed in the explicit form in terms of the hypergeometric functions. We proved that the corresponding solution is rational when the parameter $\rho$ is integer. We show that in the case (n=4, m=5, $\rho$ is integer) the corresponding KZ system hasn't got a rational solution.

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Lev Sakhnovich. 2009-03-23. About the Rationality of the Knizhnik-Zamolodchikov Equation Solution. https://doi.org/10.1007/s11232-010-0036-0

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