https://doi.org/10.1140/epjc/s10052-023-11951-8
Regular Article - Theoretical Physics
Supersymmetric partition function hierarchies and character expansions
1
Department of Mathematics, China University of Mining and Technology, 100083, Beijing, China
2
School of Mathematical Sciences, Capital Normal University, 100048, Beijing, China
Received:
17
May
2023
Accepted:
23
August
2023
Published online:
4
September
2023
We construct the supersymmetric 
and (q, t)-deformed Hurwitz–Kontsevich partition functions through W-representations and present the corresponding character expansions with respect to the Jack and Macdonald superpolynomials, respectively. Based on the constructed and (q, t)-deformed superoperators, we further give the supersymmetric and (q, t)-deformed partition function hierarchies through W-representations. We also present the generalized super Virasoro constraints, where the constraint operators obey the generalized super Virasoro algebra and null super 3-algebra. Moreover, the superintegrability for these (non-deformed) supersymmetric hierarchies is shown by their character expansions, i.e., 
.
© The Author(s) 2023
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