Elliptic solution for modified tetrahedron equations
High Energy Physics - Theory
2014-11-18 v1 Exactly Solvable and Integrable Systems
solv-int
Abstract
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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Cite
@article{arxiv.hep-th/9305145,
title = {Elliptic solution for modified tetrahedron equations},
author = {V. V. Mangazeev and Yu. G. Stroganov},
journal= {arXiv preprint arXiv:hep-th/9305145},
year = {2014}
}
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11 pages