### 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 |
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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

Maillard, J. M., & Sergeev, S. M. (1997). Three-dimensional integrable models based on modified tetrahedron equations and quantum dilogarithm.

*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