Solving the tetrahedron equation by Teichmüller TQFT
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866915816661843968 |
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| author | Shim, Myungbo Sun, Xiaoyue Wang, Hao Ellery Yagi, Junya |
| author_facet | Shim, Myungbo Sun, Xiaoyue Wang, Hao Ellery Yagi, Junya |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_22060 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Solving the tetrahedron equation by Teichmüller TQFT Shim, Myungbo Sun, Xiaoyue Wang, Hao Ellery Yagi, Junya Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems 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. |
| title | Solving the tetrahedron equation by Teichmüller TQFT |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2602.22060 |