Quantum Corner Polynomials: A Generalization of Super Macdonald Polynomials and Their VOA Correspondence
High Energy Physics - Theory
2026-03-03 v2 Mathematical Physics
Combinatorics
math.MP
Quantum Algebra
Representation Theory
Abstract
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.
Keywords
Cite
@article{arxiv.2508.12267,
title = {Quantum Corner Polynomials: A Generalization of Super Macdonald Polynomials and Their VOA Correspondence},
author = {Panupong Cheewaphutthisakun and Jun'ichi Shiraishi and Keng Wiboonton},
journal= {arXiv preprint arXiv:2508.12267},
year = {2026}
}
Comments
47 pages