Quantum Corner VOA and the Super Macdonald Polynomials

In this paper, we establish a relation between the quantum corner VOA $q{\tilde{Y}}_{L,0,N}[\mathrm{\Psi }]$, 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 $q{\tilde{Y}}_{L,0,N}[\mathrm{\Psi }]$, coincide with the Sergeev-Veselov super Macdonald polynomials.