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arXiv · 2504.17326

Quantum Corner VOA and the Super Macdonald Polynomials

Panupong Cheewaphutthisakun·Jun'ichi Shiraishi·Keng Wiboonton
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Abstract

In this paper, we establish a relation between the quantum corner VOA $q\widetilde{Y}_{L,0,N}[\Psi]$, which can be regarded as a generalization of quantum $W_N$ algebra, and Sergeev-Veselov super Macdonald polynomials. We demonstrate precisely that, under a specific map, the correlation functions of the currents of $q\widetilde{Y}_{L,0,N}[\Psi]$, coincide with the Sergeev-Veselov super Macdonald polynomials.

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Panupong Cheewaphutthisakun, Jun'ichi Shiraishi, Keng Wiboonton. 2025-04-24. Quantum Corner VOA and the Super Macdonald Polynomials. https://arxiv.org/abs/2504.17326

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