Elliptic Sklyanin Algebra, Baxter Equation and Discrete Liouville Equation

2023/03/30 by С. М. Сергеев, Sergeev, Sergey
Computer Science · Mathematics · Physics and Astronomy · #37J35 #37J37 #70G65 #70G70 #Algebraic structures and combinatorial models #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Polynomial and algebraic computation

paper · pdf · doi:10.48550/arxiv.2303.17715

openalex publication_date 2023/03/30 · openalex created_date 2023/04/06 · openalex updated_date 2026/07/28

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.

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