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An application of Aomoto-Gelfand hypergeometric functions to theSU(n) Knizhnik-Zamolodchikov equation

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Abstract

Solutions to the Knizhnik-Zamolodchikov equation for Verma modules of the Lie algebra\(\mathfrak{s}\mathfrak{l}(n + 1,\mathbb{C})\) are explicitly given by certain integrals called Aomoto-Gelfand hypergeometric functions.

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  1. Research Institute for Mathematical Sciences, Kyoto University, 606, Kyoto, Japan

    Atsushi Matsuo

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  1. Atsushi Matsuo
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Communicated by H. Araki

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Matsuo, A. An application of Aomoto-Gelfand hypergeometric functions to theSU(n) Knizhnik-Zamolodchikov equation. Commun.Math. Phys. 134, 65–77 (1990). https://doi.org/10.1007/BF02102089

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  • DOI: https://doi.org/10.1007/BF02102089

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