Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866911394545270784 |
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| author | Atalikov, K. Zotov, A. |
| author_facet | Atalikov, K. Zotov, A. |
| contents | We prove gauge equivalence between integrable field generalization of the elliptic Calogero-Moser model and the higher rank XYZ Landau-Lifshitz model of vector type on 1+1 dimensional space-time. Explicit formulae for the change of variables are derived, thus providing the Poisson map between these models. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_00938 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model Atalikov, K. Zotov, A. Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems We prove gauge equivalence between integrable field generalization of the elliptic Calogero-Moser model and the higher rank XYZ Landau-Lifshitz model of vector type on 1+1 dimensional space-time. Explicit formulae for the change of variables are derived, thus providing the Poisson map between these models. |
| title | Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model |
| topic | Mathematical Physics High Energy Physics - Theory Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2506.00938 |