ELLIPTIC SOLUTION FOR MODIFIED TETRAHEDRON EQUATIONS

VV Mangazeev; YG Stroganov

doi:10.1142/S0217732393003895

ELLIPTIC SOLUTION FOR MODIFIED TETRAHEDRON EQUATIONS

VV Mangazeev, YG Stroganov

Department of Fundamental & Theoretical Physics

Research output: Contribution to journal › Article › peer-review

Abstract

As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of the 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.

Original language	English
Pages (from-to)	3475-3482
Number of pages	8
Journal	Modern Physics Letters A
Volume	8
Issue number	36
DOIs	https://doi.org/10.1142/S0217732393003895
Publication status	Published - 1993

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title = "ELLIPTIC SOLUTION FOR MODIFIED TETRAHEDRON EQUATIONS",

abstract = "As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of the 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.",

author = "VV Mangazeev and YG Stroganov",

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ELLIPTIC SOLUTION FOR MODIFIED TETRAHEDRON EQUATIONS

Abstract

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