The Zoo of Opers and Dualities
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866911345229692928 |
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| author | Koroteev, Peter Zeitlin, Anton M. |
| author_facet | Koroteev, Peter Zeitlin, Anton M. |
| contents | We investigate various spaces of $SL(r+1)$-opers and their deformations. For each type of such opers, we study the quantum/classical duality, which relates quantum integrable spin chains with classical solvable many body systems. In this context, quantum/classical dualities serve as an interplay between two different coordinate systems on the space of opers. We also establish correspondences between the underlying oper spaces, which recently had multiple incarnations in symplectic duality and bispectral duality. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2208_08031 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | The Zoo of Opers and Dualities Koroteev, Peter Zeitlin, Anton M. Algebraic Geometry High Energy Physics - Theory Mathematical Physics Quantum Algebra Representation Theory We investigate various spaces of $SL(r+1)$-opers and their deformations. For each type of such opers, we study the quantum/classical duality, which relates quantum integrable spin chains with classical solvable many body systems. In this context, quantum/classical dualities serve as an interplay between two different coordinate systems on the space of opers. We also establish correspondences between the underlying oper spaces, which recently had multiple incarnations in symplectic duality and bispectral duality. |
| title | The Zoo of Opers and Dualities |
| topic | Algebraic Geometry High Energy Physics - Theory Mathematical Physics Quantum Algebra Representation Theory |
| url | https://arxiv.org/abs/2208.08031 |