Duality for Knizhnik-Zamolodchikov and Dynamical Operators

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Tarasov2020Duality-CCBYSA.pdf (334.47 KB)
Date
2020
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Tarasov, Vitaly
Uvarov, Filipp
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English
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Mathematical Sciences, School of Science
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SIGMA
Abstract

We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the (glk,gln)-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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Knizhnik-Zamolodchikov operators, dynamical operators, the (glk,gln)-duality
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Tarasov, V., & Uvarov, F. (2020). Duality for Knizhnik-Zamolodchikov and Dynamical Operators. SIGMA. Symmetry, Integrability and Geometry: Methods and Applications, 16, 035. https://doi.org/10.3842/SIGMA.2020.035
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Foundation Compositio Mathematica
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https://hdl.handle.net/1805/28009
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https://doi.org/10.3842/SIGMA.2020.035
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