Modified Tetrahedron Equations and Related 3D Integrable Models

Details Modified Tetrahedron Equations and Related 3D Integrable Models Modified Tetrahedron Equations and Related 3D Integrable Models

1994-07-22

arxiv.org/abs/hep-th/9407146v1

Int.J.Mod.Phys. A10 (1995) 4041-4064

Physics

High Energy Physics

High Energy Physics - Theory

26 pages, LaTeX file

Scientific paper

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.

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