Modified Tetrahedron Equations and Related 3D Integrable Models
H. E. Boos, V. V. Mangazeev, S. M. Sergeev
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.
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