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Duality for Knizhnik-Zamolodchikov and Dynamical Operators (1904.07309v3)
Published 15 Apr 2019 in math.QA
Abstract: We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the $(\mathfrak{gl}{k}, \mathfrak{gl}{n})$-duality for the space of polynomials in $kn$ anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality.
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