On the solutions of the local Zamolodchikov tetrahedron equation
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866913283082027008 |
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| author | Chirkov, M. Konstantinou-Rizos, S. |
| author_facet | Chirkov, M. Konstantinou-Rizos, S. |
| contents | We study the solutions of the local Zamolodhcikov tetrahedron equation in the form of correspondences derived by $3\times 3$ matrices. We present all the associated generators of 4-simplex maps satisfying the local tetrahedron equation. Moreover, we demonstrate that, from some of our solutions, we can recover the 4-simplex extensions of Kashaev--Korepanov--Sergeev and Hirota type tetrahedron maps. Finally, we construct several novel 4-simplex maps. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_17070 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the solutions of the local Zamolodchikov tetrahedron equation Chirkov, M. Konstantinou-Rizos, S. Exactly Solvable and Integrable Systems Mathematical Physics We study the solutions of the local Zamolodhcikov tetrahedron equation in the form of correspondences derived by $3\times 3$ matrices. We present all the associated generators of 4-simplex maps satisfying the local tetrahedron equation. Moreover, we demonstrate that, from some of our solutions, we can recover the 4-simplex extensions of Kashaev--Korepanov--Sergeev and Hirota type tetrahedron maps. Finally, we construct several novel 4-simplex maps. |
| title | On the solutions of the local Zamolodchikov tetrahedron equation |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics |
| url | https://arxiv.org/abs/2403.17070 |