English

Duality for Knizhnik-Zamolodchikov and Dynamical Operators

Quantum Algebra 2020-04-28 v3

Abstract

We consider the Knizhnik-Zamolodchikov and dynamical operators, both differential and difference, in the context of the (glk,gln)(\mathfrak{gl}_{k}, \mathfrak{gl}_{n})-duality for the space of polynomials in knkn anticommuting variables. We show that the Knizhnik-Zamolodchikov and dynamical operators naturally exchange under the duality.

Keywords

Cite

@article{arxiv.1904.07309,
  title  = {Duality for Knizhnik-Zamolodchikov and Dynamical Operators},
  author = {Vitaly Tarasov and Filipp Uvarov},
  journal= {arXiv preprint arXiv:1904.07309},
  year   = {2020}
}