Twisted Cherednik spectrum as a $q,t$-deformation
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866914595779641344 |
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| author | Mironov, A. Morozov, A. Popolitov, A. |
| author_facet | Mironov, A. Morozov, A. Popolitov, A. |
| contents | The common eigenfunctions of the twisted Cherednik operators can be first analyzed in the limit of $q\longrightarrow 1$. Then, the polynomial eigenfunctions form a simple set originating from the symmetric ground state of non-vanishing degree and excitations over it, described by non-symmetric polynomials of higher degrees and enumerated by weak compositions. This pattern is inherited by the full spectrum at $q\neq 1$, which can be considered as a deformation. The whole story looks like a typical NP problem: the Cherednik equations are difficult to solve, but easy to check the solution once it is somehow found. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_10500 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Twisted Cherednik spectrum as a $q,t$-deformation Mironov, A. Morozov, A. Popolitov, A. High Energy Physics - Theory Mathematical Physics Combinatorics Quantum Algebra The common eigenfunctions of the twisted Cherednik operators can be first analyzed in the limit of $q\longrightarrow 1$. Then, the polynomial eigenfunctions form a simple set originating from the symmetric ground state of non-vanishing degree and excitations over it, described by non-symmetric polynomials of higher degrees and enumerated by weak compositions. This pattern is inherited by the full spectrum at $q\neq 1$, which can be considered as a deformation. The whole story looks like a typical NP problem: the Cherednik equations are difficult to solve, but easy to check the solution once it is somehow found. |
| title | Twisted Cherednik spectrum as a $q,t$-deformation |
| topic | High Energy Physics - Theory Mathematical Physics Combinatorics Quantum Algebra |
| url | https://arxiv.org/abs/2601.10500 |