State integral models and the tetrahedron equation
Mathematical Physics
2026-03-11 v1 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
It is shown that for a class of state integral models on shaped pseudo 3-manifolds, including the edge formulation of Teichm\"uller TQFT, the Boltzmann weight assigned to a tetrahedron solves the tetrahedron equation. The dihedral angles of the tetrahedron play the role of spectral parameters.
Cite
@article{arxiv.2603.09230,
title = {State integral models and the tetrahedron equation},
author = {Junya Yagi},
journal= {arXiv preprint arXiv:2603.09230},
year = {2026}
}
Comments
13 pages