Elliptic solution for modified tetrahedron equations

Abstract

As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of corresponding three-dimensional lattice models. We present the modified version of these equations which give the commuting family of more complicated two-layer transfer-matrices. In the static limit we have succeeded in constructing the solution of these equations in terms of elliptic functions.

11 pages

References in corpus (1)

• Generalized Yang-Baxter Equation

Cited by in corpus (9)

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• Modified tetrahedron equation and related 3D integrable models,II
• Three-Dimensional Vertex Model in Statistical Mechanics, from Baxter-Bazhanov Model