Non-ultralocal classical r-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866909504714571776 |
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| author | Zotov, A. |
| author_facet | Zotov, A. |
| contents | We consider 1+1 field generalization of the elliptic Calogero-Moser model. It is shown that the Lax connection satisfies the classical non-ultralocal $r$-matrix structure of Maillet type. Next, we consider 1+1 field analogue of the spin Calogero-Moser model and its multipole (or multispin) extension. Finally, we discuss the field analogue of the classical IRF-Vertex correspondence, which relates utralocal and non-ultralocal $r$-matrix structures. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01898 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Non-ultralocal classical r-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model Zotov, A. High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems We consider 1+1 field generalization of the elliptic Calogero-Moser model. It is shown that the Lax connection satisfies the classical non-ultralocal $r$-matrix structure of Maillet type. Next, we consider 1+1 field analogue of the spin Calogero-Moser model and its multipole (or multispin) extension. Finally, we discuss the field analogue of the classical IRF-Vertex correspondence, which relates utralocal and non-ultralocal $r$-matrix structures. |
| title | Non-ultralocal classical r-matrix structure for 1+1 field analogue of elliptic Calogero-Moser model |
| topic | High Energy Physics - Theory Mathematical Physics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2404.01898 |