$Q$-functions for lambda opers
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arXiv
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866913325608075264 |
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| author | Masoero, Davide Mukhin, Evgeny Raimondo, Andrea |
| author_facet | Masoero, Davide Mukhin, Evgeny Raimondo, Andrea |
| contents | We consider the Schrödinger operators which are constructed from the $λ$-opers corresponding to solutions of the $\widehat{\mathfrak{sl}}_2$ Gaudin Bethe Ansatz equations. We define and study the connection coefficients called the $Q$-functions. We conjecture that the $Q$-functions obtained from the $λ$-opers coincide with the $Q$-functions of the Bazhanov-Lukyanov-Zamolodchikov opers with the monster potential related to the quantum KdV flows. We give supporting evidence for this conjecture. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_08842 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | $Q$-functions for lambda opers Masoero, Davide Mukhin, Evgeny Raimondo, Andrea Mathematical Physics Quantum Algebra We consider the Schrödinger operators which are constructed from the $λ$-opers corresponding to solutions of the $\widehat{\mathfrak{sl}}_2$ Gaudin Bethe Ansatz equations. We define and study the connection coefficients called the $Q$-functions. We conjecture that the $Q$-functions obtained from the $λ$-opers coincide with the $Q$-functions of the Bazhanov-Lukyanov-Zamolodchikov opers with the monster potential related to the quantum KdV flows. We give supporting evidence for this conjecture. |
| title | $Q$-functions for lambda opers |
| topic | Mathematical Physics Quantum Algebra |
| url | https://arxiv.org/abs/2312.08842 |