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 parametrize them in terms of elliptic functions. The corresponding models contain one free parameter, k—an elliptic modulus.
|Number of pages||23|
|Journal||International Journal of Modern Physics A|
|Publication status||Published - 10 Nov 1995|