State integral models and the tetrahedron equation
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- 30 June 2026
- journal article
- Published by IOP Publishing in Journal of Physics A: Mathematical and Theoretical
- Vol. 59 (28) , 285203
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.Keywords
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Funding Information
- National Natural Science Foundation of China (12375064)
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