W-representations of the fermionic matrix and Aristotelian tensor models

We show that the fermionic matrix model can be realized by W-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra. The remarkable feature is that the character expansion of the partition functi...

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Main Authors:	Lu-Yao Wang, Rui Wang, Ke Wu, Wei-Zhong Zhao
Format:	article
Language:	EN
Published:	Elsevier 2021
Subjects:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Online Access:	https://doaj.org/article/7ed27143b08b42f8aa858c7351f3ba55
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spelling	oai:doaj.org-article:7ed27143b08b42f8aa858c7351f3ba552021-12-04T04:33:01ZW-representations of the fermionic matrix and Aristotelian tensor models0550-321310.1016/j.nuclphysb.2021.115612https://doaj.org/article/7ed27143b08b42f8aa858c7351f3ba552021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321003096https://doaj.org/toc/0550-3213We show that the fermionic matrix model can be realized by W-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra. The remarkable feature is that the character expansion of the partition function can be easily derived from such Virasoro constraints. It is a τ-function of the KP hierarchy. We construct the fermionic Aristotelian tensor model and give its W-representation. Moreover, we analyze the fermionic red tensor model and present the W-representation and character expansion of the partition function.Lu-Yao WangRui WangKe WuWei-Zhong ZhaoElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115612- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Lu-Yao Wang Rui Wang Ke Wu Wei-Zhong Zhao W-representations of the fermionic matrix and Aristotelian tensor models
description	We show that the fermionic matrix model can be realized by W-representation. We construct the Virasoro constraints with higher algebraic structures, where the constraint operators obey the Witt algebra and null 3-algebra. The remarkable feature is that the character expansion of the partition function can be easily derived from such Virasoro constraints. It is a τ-function of the KP hierarchy. We construct the fermionic Aristotelian tensor model and give its W-representation. Moreover, we analyze the fermionic red tensor model and present the W-representation and character expansion of the partition function.
format	article
author	Lu-Yao Wang Rui Wang Ke Wu Wei-Zhong Zhao
author_facet	Lu-Yao Wang Rui Wang Ke Wu Wei-Zhong Zhao
author_sort	Lu-Yao Wang
title	W-representations of the fermionic matrix and Aristotelian tensor models
title_short	W-representations of the fermionic matrix and Aristotelian tensor models
title_full	W-representations of the fermionic matrix and Aristotelian tensor models
title_fullStr	W-representations of the fermionic matrix and Aristotelian tensor models
title_full_unstemmed	W-representations of the fermionic matrix and Aristotelian tensor models
title_sort	w-representations of the fermionic matrix and aristotelian tensor models
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/7ed27143b08b42f8aa858c7351f3ba55
work_keys_str_mv	AT luyaowang wrepresentationsofthefermionicmatrixandaristoteliantensormodels AT ruiwang wrepresentationsofthefermionicmatrixandaristoteliantensormodels AT kewu wrepresentationsofthefermionicmatrixandaristoteliantensormodels AT weizhongzhao wrepresentationsofthefermionicmatrixandaristoteliantensormodels
_version_	1718373040736174080

W-representations of the fermionic matrix and Aristotelian tensor models

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