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arXiv · 2508.12267

Quantum Corner Polynomials: A Generalization of Super Macdonald Polynomials and Their VOA Correspondence

Panupong Cheewaphutthisakun·Jun'ichi Shiraishi·Keng Wiboonton
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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.

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Panupong Cheewaphutthisakun, Jun'ichi Shiraishi, Keng Wiboonton. 2025-08-17. Quantum Corner Polynomials: A Generalization of Super Macdonald Polynomials and Their VOA Correspondence. https://arxiv.org/abs/2508.12267

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