ELLIPTIC SOLUTION FOR MODIFIED TETRAHEDRON EQUATIONS

As is known, tetrahedron equations lead to the commuting family of tra nsfer-matrices and provide the integrability of the corresponding thre e-dimensional lattice models. We present the modified version of these equations which give the commuting family of more complicated two-lay er transfer-matrices. In the static Limit we have succeeded in constru cting the solution of these equations in terms of elliptic functions.