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The Structure of the Bazhanov-Baxter Model and a New Solution of the Tetrahedron Equation

M. Horibe·K. Shigemoto
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Abstract

We clarify the structure of the Bazhanov-Baxter model of the 3-dim N-state integrable model. There are two essential points, i) the cubic symmetries, and ii) the spherical trigonometry parametrization, to understand the structure of this model. We propose two approaches to find a candidate as a solution of the tetrahedron equation, and we find a new solution.

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M. Horibe, K. Shigemoto. 1999-09-20. The Structure of the Bazhanov-Baxter Model and a New Solution of the Tetrahedron Equation. https://doi.org/10.1143/ptp.102.221

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