dorsal/arxiv
View SchemaTwisted Cherednik spectrum as a $q,t$-deformation
| Authors | A. Mironov, A. Morozov, A. Popolitov |
|---|---|
| Categories | |
| ArXiv ID | 2601.10500vv1 |
| URL | https://arxiv.org/abs/2601.10500 |
| License | http://arxiv.org/licenses/nonexclusive-distrib/1.0/ |
Abstract
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.
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"date_created": "2026-02-17T05:53:24.392000Z",
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"abstract": "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.",
"arxiv_id": "2601.10500",
"authors": [
"A. Mironov",
"A. Morozov",
"A. Popolitov"
],
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"hep-th",
"math-ph",
"math.CO",
"math.MP",
"math.QA"
],
"license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
"title": "Twisted Cherednik spectrum as a $q,t$-deformation",
"url": "https://arxiv.org/abs/2601.10500",
"version": "v1"
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