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Elliptic Sklyanin Algebra, Baxter Equation and Discrete Liouville Equation (2303.17715v1)

Published 30 Mar 2023 in math-ph and 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.

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