MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS , I

HE BOOS; Vladimir V. Mangazeev; Sergey SERGEEV

doi:10.1142/S0217751X9500187X

MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS , I

HE BOOS, Vladimir V. Mangazeev, Sergey SERGEEV

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

Abstract

Using a modified version of the tetrahedron equations we construct a new family of N- state three-dimensional integrable models with commuting two-layer transfer matrices. We investigate a particular class of solutions to these equations and parametrize them in terms of elliptic functions. The corresponding models contain one free parameter, k—an elliptic modulus.

Original language	English
Pages (from-to)	4041-4063
Number of pages	23
Journal	International Journal of Modern Physics A
Volume	10
Issue number	28
DOIs	https://doi.org/10.1142/S0217751X9500187X
Publication status	Published - 10 Nov 1995

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@article{105317a484fd4a8cb34e296686765187,

title = "MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS , I",

abstract = "Using a modified version of the tetrahedron equations we construct a new family of N- state three-dimensional integrable models with commuting two-layer transfer matrices. We investigate a particular class of solutions to these equations and parametrize them in terms of elliptic functions. The corresponding models contain one free parameter, k—an elliptic modulus.",

author = "HE BOOS and Mangazeev, {Vladimir V.} and Sergey SERGEEV",

year = "1995",

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AU - BOOS, HE

AU - Mangazeev, Vladimir V.

AU - SERGEEV, Sergey

PY - 1995/11/10

Y1 - 1995/11/10

N2 - Using a modified version of the tetrahedron equations we construct a new family of N- state three-dimensional integrable models with commuting two-layer transfer matrices. We investigate a particular class of solutions to these equations and parametrize them in terms of elliptic functions. The corresponding models contain one free parameter, k—an elliptic modulus.

AB - Using a modified version of the tetrahedron equations we construct a new family of N- state three-dimensional integrable models with commuting two-layer transfer matrices. We investigate a particular class of solutions to these equations and parametrize them in terms of elliptic functions. The corresponding models contain one free parameter, k—an elliptic modulus.

U2 - 10.1142/S0217751X9500187X

DO - 10.1142/S0217751X9500187X

M3 - Article

SN - 0217-751X

VL - 10

SP - 4041

EP - 4063

JO - International Journal of Modern Physics A

JF - International Journal of Modern Physics A

IS - 28

ER -

MODIFIED TETRAHEDRON EQUATIONS AND RELATED 3D INTEGRABLE MODELS , I

Abstract

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