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This article is cited in 1 scientific paper (total in 1 paper)
Rationality of the Knizhnik–Zamolodchikov equation solution
L. A. Sakhnovich
Abstract:
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.
Keywords:
symmetric group, natural representation, Young tableau, integer eigenvalue.
Received: 10.10.2009
Citation:
L. A. Sakhnovich, “Rationality of the Knizhnik–Zamolodchikov equation solution”, TMF, 163:1 (2010), 86–93; Theoret. and Math. Phys., 163:1 (2010), 472–478
Linking options:
https://www.mathnet.ru/eng/tmf6488https://doi.org/10.4213/tmf6488 https://www.mathnet.ru/eng/tmf/v163/i1/p86
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Abstract page: | 532 | Full-text PDF : | 225 | References: | 83 | First page: | 16 |
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