State integral models and the tetrahedron equation
Fuente:
arXiv
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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866918380838060032 |
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| author | Yagi, Junya |
| author_facet | Yagi, Junya |
| contents | It is shown that for a class of state integral models on shaped pseudo 3-manifolds, including the edge formulation of Teichmüller TQFT, the Boltzmann weight assigned to a tetrahedron solves the tetrahedron equation. The dihedral angles of the tetrahedron play the role of spectral parameters. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_09230 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | State integral models and the tetrahedron equation Yagi, Junya Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems It is shown that for a class of state integral models on shaped pseudo 3-manifolds, including the edge formulation of Teichmüller TQFT, the Boltzmann weight assigned to a tetrahedron solves the tetrahedron equation. The dihedral angles of the tetrahedron play the role of spectral parameters. |
| title | State integral models and the tetrahedron equation |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2603.09230 |