Quantum corner polynomials: a generalization of super Macdonald polynomials and their VOA correspondence
Abstract
A bstract In this paper, we introduce a family of partially symmetric polynomials, which we call quantum corner polynomials, as a generalization of the Sergeev-Veselov super Macdonald polynomials. We show that these quantum corner polynomials are precisely the partially symmetric polynomials corresponding to the quantum corner VOAs. Furthermore, we provide a detailed proof of the partial symmetricity of these polynomials.
Fields of Study & Subjects
Advanced Mathematical Identities
Algebraic structures and combinatorial models
Advanced Combinatorial Mathematics
Publication details
- Journal / source
- Journal of High Energy Physics
- Volume
- 2026
- Issue
- 8
- Publication date
- 10 August 2026
- Language
- EN