Duality for Knizhnik-Zamolodchikov and Dynamical Operators

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2020
• Hauptverfasser: Tarasov, Vitaly, Uvarov, Filipp
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2020
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/210715
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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....