Author:
Wang Rui,Liu Fan,Li Min-Li,Zhao Wei-Zhong
Abstract
AbstractWe construct the supersymmetric$$\beta $$βand (q, t)-deformed Hurwitz–Kontsevich partition functions throughW-representations and present the corresponding character expansions with respect to the Jack and Macdonald superpolynomials, respectively. Based on the constructed$$\beta $$βand (q, t)-deformed superoperators, we further give the supersymmetric$$\beta $$βand (q, t)-deformed partition function hierarchies throughW-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.,$$<character>\sim character$$<character>∼character.
Funder
Fundamental Research Funds for the Central Universities
National Natural Science Foundation of China
Publisher
Springer Science and Business Media LLC
Subject
Physics and Astronomy (miscellaneous),Engineering (miscellaneous)
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