Modified Tetrahedron Equations and Related 3D Integrable Models

Abstract

Using a modified version of the tetrahedron equations we construct a new family of $N$-state three-dimensional integrable models with commuting two-layer transfer-matrices. We investigate a particular class of solutions to these equations and parameterize them in terms of elliptic functions. The corresponding models contain one free parameter $k$ -- an elliptic modulus.

26 pages, LaTeX file

References in corpus (1)

• Elliptic solution for modified tetrahedron equations

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