All regular $4 \times 4$ solutions of the Yang-Baxter equation
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866929249714176000 |
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| author | Corcoran, Luke de Leeuw, Marius |
| author_facet | Corcoran, Luke de Leeuw, Marius |
| contents | We complete the classification of $4\times 4$ regular solutions of the Yang-Baxter equation. Apart from previously known models, we find four new models of non-difference form. All the new models give rise to Hamiltonians and transfer matrices that have a non-trivial Jordan block structure. One model corresponds to a non-diagonalisable integrable deformation of the XXX spin chain. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2306_10423 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | All regular $4 \times 4$ solutions of the Yang-Baxter equation Corcoran, Luke de Leeuw, Marius High Energy Physics - Theory Statistical Mechanics Mathematical Physics Exactly Solvable and Integrable Systems We complete the classification of $4\times 4$ regular solutions of the Yang-Baxter equation. Apart from previously known models, we find four new models of non-difference form. All the new models give rise to Hamiltonians and transfer matrices that have a non-trivial Jordan block structure. One model corresponds to a non-diagonalisable integrable deformation of the XXX spin chain. |
| title | All regular $4 \times 4$ solutions of the Yang-Baxter equation |
| topic | High Energy Physics - Theory Statistical Mechanics Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2306.10423 |