### 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 | |

Publication status | Published - 17 Jul 1997 |

Externally published | Yes |

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### Cite this

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

*405*(1-2), 55-63. https://doi.org/10.1016/S0370-2693(97)00601-1

}

*Physics Letters. Section B: Nuclear, Elementary Particle and High-Energy Physics*, vol. 405, no. 1-2, pp. 55-63. https://doi.org/10.1016/S0370-2693(97)00601-1

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

Research output: Contribution to journal › Article

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).

KW - tetrahedron equations

KW - modified tetrahedron equations

KW - 2 + 1 integrability

KW - quantum dilogarithm

UR - http://www.scopus.com/inward/record.url?scp=0040564728&partnerID=8YFLogxK

U2 - 10.1016/S0370-2693(97)00601-1

DO - 10.1016/S0370-2693(97)00601-1

M3 - Article

VL - 405

SP - 55

EP - 63

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

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

SN - 0370-2693

IS - 1-2

ER -