Rationality of the Knizhnik-Zamolodchikov equation solution

被引：1
|
作者：
Sakhnovich, L. A.
机构：
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2010年 / 163卷 / 01期
关键词：
symmetric group; natural representation; Young tableau; integer eigenvalue;
D O I：
10.1007/s11232-010-0036-0
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We construct an explicit solution of the Knizhnik-Zamolodchikov system with n = 4 and m = 2 in the terms of hypergeometric functions. We prove that this solution is rational when the parameter rho is integer. We show that the Knizhnik-Zamolodchikov system has no rational solution in the case where n = 5, m = 5, and rho is integer.
引用
收藏
页码：472 / 478
页数：7
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