Duality for Knizhnik-Zamolodchikov and Dynamical Operators

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2020
• Main Authors: Tarasov, Vitaly, Uvarov, Filipp
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2020
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/210715
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Duality for Knizhnik-Zamolodchikov and Dynamical Operators. Vitaly Tarasov and Filipp Uvarov. SIGMA 16 (2020), 035, 10 pages

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 anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality....