Quantum corner VOA and the super Macdonald polynomials

A bstract 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.