On the status of DELL systems
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913198038319104 |
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| author | Mironov, A. Morozov, A. |
| author_facet | Mironov, A. Morozov, A. |
| contents | A detailed review of the $p,q$-duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the elliptic Ruijsenaars Hamiltonians (i.e. trigonometric-elliptic ones), and explain their relations to the bi-elliptic Koroteev-Shakirov (KS) model. The most interesting self-dual double-elliptic (DELL) system remains a mystery, but we provide a clearer formulation of the problem and describe the steps that are still to be done. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_06403 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the status of DELL systems Mironov, A. Morozov, A. High Energy Physics - Theory Mathematical Physics A detailed review of the $p,q$-duality for Calogero system and its generalizations is given. For the first time, we present some of elliptic-trigonometric Hamiltonians dual to the elliptic Ruijsenaars Hamiltonians (i.e. trigonometric-elliptic ones), and explain their relations to the bi-elliptic Koroteev-Shakirov (KS) model. The most interesting self-dual double-elliptic (DELL) system remains a mystery, but we provide a clearer formulation of the problem and describe the steps that are still to be done. |
| title | On the status of DELL systems |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2309.06403 |