Elliptic solution for modified tetrahedron equations

Details Elliptic solution for modified tetrahedron equations Elliptic solution for modified tetrahedron equations

1993-05-26

arxiv.org/abs/hep-th/9305145v1

Mod.Phys.Lett. A8 (1993) 3475-3482

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1142/S0217732393003895

As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of corresponding three-dimensional lattice models. We present the modified version of these equations which give the commuting family of more complicated two-layer transfer-matrices. In the static limit we have succeeded in constructing the solution of these equations in terms of elliptic functions.

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