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Teoreticheskaya i Matematicheskaya Fizika, 2010, Volume 163, Number 1, Pages 86–93
DOI: https://doi.org/10.4213/tmf6488 (Mi tmf6488) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Rationality of the Knizhnik–Zamolodchikov equation solution

L. A. Sakhnovich
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DOI: https://doi.org/10.4213/tmf6488
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
English version:
Theoretical and Mathematical Physics, 2010, Volume 163, Issue 1, Pages 472–478
DOI: https://doi.org/10.1007/s11232-010-0036-0
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/tmf6488
  • https://doi.org/10.4213/tmf6488
  • https://www.mathnet.ru/eng/tmf/v163/i1/p86
    • This publication is cited in the following 1 articles:
    1. Sakhnovich A., “On the compatibility condition for linear systems and a factorization formula for wave functions”, J. Differential Equations, 252:5 (2012), 3658–3667  crossref  mathscinet  zmath  adsnasa  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    Abstract page:549
    Full-text PDF :234
    References:87
    First page:16
     
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