Modified tetrahedron equation and related 3D integrable models,II

Details Modified tetrahedron equation and related 3D integrable models,II Modified tetrahedron equation and related 3D integrable models,II

1995-04-24

arxiv.org/abs/hep-th/9504119v1

Int.J.Mod.Phys. A11 (1996) 313

Physics

High Energy Physics

High Energy Physics - Theory

17 pages,LaTeX file

Scientific paper

This work is a continuation of paper (hep-th/9407146) where the Boltzmann weights for the N-state integrable spin model on the cubic lattice has been obtained only numerically. In this paper we present the analytical formulae for this model in a particular case. Here the Boltzmann weights depend on six free parameters including the elliptic modulus. The obtained solution allows to construct a two-parametric family of the commuting two-layer transfer matrices. Presented model is expected to be simpler for a further investigation in comparison with a more general model mentioned above.

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