Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm

J. M. Maillard; S. M. Sergeev

doi:10.1016/S0370-2693(97)00601-1

Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm

J. M. Maillard, S. M. Sergeev

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

8 Citations (Scopus)

Abstract

Simple solutions of modified tetrahedron equation are given. These solutions are related to the known solutions of the tetrahedron equation. Each R-matrix contains one (or two) "spectral" parameter(s). Using these simple solutions one gets two (resp. four) parameters commuting sets of two-layer transfer matrices, the whole number of parameters in each two-layer transfer matrix being five (resp. ten).

Original language	English
Pages (from-to)	55-63
Number of pages	9
Journal	Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	405
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(97)00601-1
Publication status	Published - 17 Jul 1997
Externally published	Yes

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title = "Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm",

abstract = "Simple solutions of modified tetrahedron equation are given. These solutions are related to the known solutions of the tetrahedron equation. Each R-matrix contains one (or two) {"}spectral{"} parameter(s). Using these simple solutions one gets two (resp. four) parameters commuting sets of two-layer transfer matrices, the whole number of parameters in each two-layer transfer matrix being five (resp. ten).",

keywords = "tetrahedron equations, modified tetrahedron equations, 2 + 1 integrability, quantum dilogarithm",

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T1 - Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm

AU - Maillard, J. M.

AU - Sergeev, S. M.

PY - 1997/7/17

Y1 - 1997/7/17

N2 - Simple solutions of modified tetrahedron equation are given. These solutions are related to the known solutions of the tetrahedron equation. Each R-matrix contains one (or two) "spectral" parameter(s). Using these simple solutions one gets two (resp. four) parameters commuting sets of two-layer transfer matrices, the whole number of parameters in each two-layer transfer matrix being five (resp. ten).

AB - Simple solutions of modified tetrahedron equation are given. These solutions are related to the known solutions of the tetrahedron equation. Each R-matrix contains one (or two) "spectral" parameter(s). Using these simple solutions one gets two (resp. four) parameters commuting sets of two-layer transfer matrices, the whole number of parameters in each two-layer transfer matrix being five (resp. ten).

KW - tetrahedron equations

KW - modified tetrahedron equations

KW - 2 + 1 integrability

KW - quantum dilogarithm

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JO - Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 1-2

ER -

Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm

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