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.

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.