Supersymmetric partition function hierarchies and character expansions Article Swipe

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Rui Wang , Fan Liu , Minli Li , Wei‐Zhong Zhao ·

YOU? · · 2022 · Open Access · · DOI: https://doi.org/10.48550/arxiv.2208.03671

We construct the supersymmetric $β$ 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 $β$ and $(q,t)$-deformed superoperators, we further give the supersymmetric $β$ 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., $\sim character$.

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Character (mathematics) Partition function (quantum field theory) Pure mathematics Partition (number theory) Mathematics Constraint (computer-aided design) Algebra over a field Combinatorics Physics Quantum mechanics Geometry

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Type: preprint
Language: en
Landing Page: http://arxiv.org/abs/2208.03671
PDF: https://arxiv.org/pdf/2208.03671
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DOI: https://doi.org/10.48550/arxiv.2208.03671

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Title: Supersymmetric partition function hierarchies and character expansions

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Publication year: 2022

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Publication date: 2022-08-07

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Authors: Rui Wang, Fan Liu, Minli Li, Wei‐Zhong Zhao

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Landing page: https://arxiv.org/abs/2208.03671

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Concepts: Character (mathematics), Partition function (quantum field theory), Pure mathematics, Partition (number theory), Mathematics, Constraint (computer-aided design), Algebra over a field, Combinatorics, Physics, Quantum mechanics, Geometry

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