Bazhanov-Stroganov model from 3D approach

Abstract

We apply a 3-dimensional approach to describe a new parametrization of the L-operators for the 2-dimensional Bazhanov-Stroganov (BS) integrable spin model related to the chiral Potts model. This parametrization is based on the solution of the associated classical discrete integrable system. Using a 3-dimensional vertex satisfying a modified tetrahedron equation, we construct an operator which generalizes the BS quantum intertwining matrix S. This operator describes the isospectral deformations of the integrable BS model.

33 pages, 6 figures

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Cited by in corpus (6)

• Baxter-Bazhanov-Stroganov model: Separation of Variables and Baxter Equation
• On the solutions of the Yang-Baxter equations with general inhomogeneous eight-vertex $R$-matrix: Relations with Zamolodchikov's tetrahedral algebra
• Transfer matrix eigenvectors of the Baxter-Bazhanov-Stroganov ${\tau }_2$-model for N=2
• Quantization of three-wave equations
• Eigenvectors of open Bazhanov-Stroganov quantum chain
• The Onsager Algebra Symmetry of ${\tau }^{(j)}$-matrices in the Superintegrable Chiral Potts Model