Solving the tetrahedron equation by Teichmüller TQFT
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.
Authors
- Xiaoyue Sun (ORCID: https://orcid.org/0009-0009-4443-4779)
- Myungbo Shim (ORCID: https://orcid.org/0000-0003-0472-3663)
- Hao Ellery Wang
- Junya Yagi (ORCID: https://orcid.org/0000-0003-1071-8908)
Institutions
- Institute of Mathematical Sciences (ES)
- Beijing Institute of Mathematical Sciences and Applications
- Tsinghua University (CN)
Publication Details
- Journal
- Journal of High Energy Physics
- Published
- 2026-06-12
- DOI
- https://doi.org/10.1007/jhep06(2026)141
- Primary Topic
- Advanced Combinatorial Mathematics
- Type
- article
- Field-Weighted Citation Impact
- 0.00