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Duality for Knizhnik-Zamolodchikov and Dynamical Operators

Vitaly Tarasov, Indiana University - Purdue University Indianapolis, USA, Filipp Uvarov, Indiana University - Purdue University Indianapolis, USA
2020 Symmetry, Integrability and Geometry: Methods and Applications  

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We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the (gl k , 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.
doi:10.3842/sigma.2020.035 fatcat:dppgzag7jnbnxczoe4zuu6n3au
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Vitaly Tarasov, Indiana University - Purdue University Indianapolis, USA, Filipp Uvarov, Indiana University - Purdue University Indianapolis, USA. "Duality for Knizhnik-Zamolodchikov and Dynamical Operators." Symmetry, Integrability and Geometry: Methods and Applications (2020)