English

Elliptic Sklyanin Algebra, Baxter Equation and Discrete Liouville Equation

Mathematical Physics 2023-04-03 v1 math.MP

Abstract

In this paper we discuss some properties of Baxter's TQ equation for the eight-vertex elliptic Sklyanin algebra it its compact representation based on the elliptic Gamma-functions. As the main result, we establish the structure of the spectrum of the corresponding quantum integrable model.

Keywords

Cite

@article{arxiv.2303.17715,
  title  = {Elliptic Sklyanin Algebra, Baxter Equation and Discrete Liouville Equation},
  author = {Sergey Sergeev},
  journal= {arXiv preprint arXiv:2303.17715},
  year   = {2023}
}