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On Pentagon And Tetrahedron Equations

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arxiv hep-th/9312037 v1 pith:B5IGGCPL submitted 1993-12-04 hep-th nlin.SIsolv-int

On Pentagon And Tetrahedron Equations

J. M. Maillet (Laboratoire de Physique Theorique , ENS Lyon , France) This is my paper
classification hep-th nlin.SIsolv-int
keywords equationspentagonsolutionstetrahedroncasedependentequationlead
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We show that solutions of Pentagon equations lead to solutions of the Tetrahedron equation. The result is obtained in the spectral parameter dependent case.

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  1. Solving the tetrahedron equation by Teichm\"uller TQFT

    math-ph 2026-02 conditional novelty 6.0

    Boltzmann weights built from Teichmüller TQFT on shaped triangulations with line defects exactly solve the bicolored tetrahedron equations.