DOI: 10.1007/jhep08(2026)082 ISSN: 1029-8479

Quantum corner polynomials: a generalization of super Macdonald polynomials and their VOA correspondence

Panupong Cheewaphutthisakun, Jun’ichi Shiraishi, Keng Wiboonton

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.

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