Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1993-05-26
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.
Mangazeev Vladimir V.
Stroganov Yu. G.
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