Solving the tetrahedron equation by Teichmüller TQFT
arXiv:2602.22060
Abstract
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 these models satisfy a variant of the tetrahedron equation, which implies integrability under suitable assumptions on R-matrices and transfer matrices. As an explicit example, we present a solution produced by Teichmüller TQFT.
18 pages, 9 figures, v2: version to appear in JHEP