Twisted Cherednik spectrum as a q, t-deformation
Abstract
The common eigenfunctions of the twisted Cherednik operators can be first analyzed in the limit of q⟶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 ≠ 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.
Fields of Study & Subjects
Algebraic and Geometric Analysis
Spectral Theory in Mathematical Physics
Quantum and Classical Electrodynamics
Publication details
- Journal / source
- Nuclear Physics B
- Publisher
- Elsevier BV
- Volume
- 1028
- Pages
- 117513–117513
- Publication date
- 19 May 2026
- Language
- EN