Solving the tetrahedron equation by Teichmüller TQFT
Abstract
A bstract 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.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Geometric and Algebraic Topology
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Journal of High Energy Physics
- Publisher
- Springer Science and Business Media LLC
- Volume
- 2026
- Issue
- 6
- Publication date
- 12 June 2026
- Language
- EN