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

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

1999-09-20

arxiv.org/abs/solv-int/9909019v1

Progr. Theor. Phys. 102 (1999), 221-236

Nonlinear Sciences

Exactly Solvable and Integrable Systems

23 pages, Latex

Scientific paper

10.1143/PTP.102.221

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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