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Three-dimensionalizing the eight-vertex model | | I.G. Korepanov
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5 Jan 2016 | | Abstract: | A simple ansatz is proposed for two-color R-matrix satisfying the tetrahedron
equation. It generalizes, on one hand, a particular case of the eight-vertex
model to three dimensions, and on another hand - Hietarinta’s permutation-type
operators to their linear combinations. Each separate R-matrix depends on one
parameter, and the tetrahedron equation holds provided the quadruple of
parameters belongs to an algebraic set containing five irreducible
two-dimensional components. | | Source: | arXiv, 1601.0794 | | Services: | Forum | Review | PDF | Favorites | |
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