Generalized $β$ and $(q,t)$-deformed partition functions with $W$-representations and Nekrasov partition functions Article Swipe
Fan Liu
,
Rui Wang
,
Jie Yang
,
Wei‐Zhong Zhao
·
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2405.11970
YOU?
·
· 2024
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2405.11970
We construct the generalized $β$ and $(q,t)$-deformed partition functions through $W$ representations, where the expansions are respectively with respect to the generalized Jack and Macdonald polynomials labeled by $N$-tuple of Young diagrams. We find that there are the profound interrelations between our deformed partition functions and the $4d$ and $5d$ Nekrasov partition functions. Since the corresponding Nekrasov partition functions can be given by vertex operators, the remarkable connection between our $β$ and $(q,t)$-deformed $W$-operators and vertex operators is revealed in this paper. In addition, we investigate the higher Hamiltonians for the generalized Jack and Macdonald polynomials.
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- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2405.11970
- https://arxiv.org/pdf/2405.11970
- OA Status
- green
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W4398192453
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- OpenAlex ID
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https://openalex.org/W4398192453Canonical identifier for this work in OpenAlex
- DOI
-
https://doi.org/10.48550/arxiv.2405.11970Digital Object Identifier
- Title
-
Generalized $β$ and $(q,t)$-deformed partition functions with $W$-representations and Nekrasov partition functionsWork title
- Type
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preprintOpenAlex work type
- Language
-
enPrimary language
- Publication year
-
2024Year of publication
- Publication date
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2024-05-20Full publication date if available
- Authors
-
Fan Liu, Rui Wang, Jie Yang, Wei‐Zhong ZhaoList of authors in order
- Landing page
-
https://arxiv.org/abs/2405.11970Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2405.11970Direct link to full text PDF
- Open access
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YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
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-
https://arxiv.org/pdf/2405.11970Direct OA link when available
- Concepts
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Partition function (quantum field theory), Partition (number theory), Mathematics, BETA (programming language), Pure mathematics, Combinatorics, Physics, Mathematical physics, Computer science, Quantum mechanics, Programming languageTop concepts (fields/topics) attached by OpenAlex
- Cited by
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0Total citation count in OpenAlex
- Related works (count)
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10Other works algorithmically related by OpenAlex
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