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

J. M. Maillard, S. M. Sergeev

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)55-63
Number of pages9
JournalPhysics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume405
Issue number1-2
DOIs
Publication statusPublished - 17 Jul 1997
Externally publishedYes

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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).",
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Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm. / Maillard, J. M.; Sergeev, S. M.

In: Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics, Vol. 405, No. 1-2, 17.07.1997, p. 55-63.

Research output: Contribution to journalArticle

TY - JOUR

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).

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KW - modified tetrahedron equations

KW - 2 + 1 integrability

KW - quantum dilogarithm

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M3 - Article

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

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