Quantum Corner VOA and the Super Macdonald Polynomials

2025/04/24 by Panupong Cheewaphutthisakun, Cheewaphutthisakun, Panupong, Jun’ichi Shiraishi +3
Mathematics · #Advanced Combinatorial Mathematics #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Mathematical functions and polynomials #Quantum Algebra (math.QA) #Representation Theory (math.RT)

paper · pdf · doi:10.48550/arxiv.2504.17326

openalex publication_date 2025/04/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we establish a relation between the quantum corner VOA q\widetildeY_L,0,N[Ψ], 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\widetildeY_L,0,N[Ψ], coincide with the Sergeev-Veselov super Macdonald polynomials.

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