State integral models and the tetrahedron equation

Abstract

It is shown that for a class of state integral models on shaped pseudo 3-manifolds, including the edge formulation of Teichmüller TQFT, the Boltzmann weight assigned to a tetrahedron solves the tetrahedron equation. The dihedral angles of the tetrahedron play the role of spectral parameters.

15 pages. Published version

References in corpus (9)

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• Integrable 3D lattice model in M-theory
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