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math-ph2026
State integral models and the tetrahedron equation
Junya Yagi
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 tetrahedr…
math-ph2026
Solving the tetrahedron equation by Teichmüller TQFT
Myungbo Shim, Xiaoyue Sun, Hao Ellery Wang +1
We propose an approach to construct three-dimensional lattice models using line defects in state integral models on shaped triangulations of 3-manifolds. The Boltzmann weights for…