Virasoro constraint for Uglov matrix model

A bstract We study the root of unity limit of ( q , t )-deformed Virasoro matrix models, for which we call the resulting model Uglov matrix model. We derive the associated Virasoro constraints on the partition function, and find agreement of the central charge with the expression obtained from the l...

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Veröffentlicht in:	The journal of high energy physics 2022-04, Vol.2022 (4), p.29-18, Article 29
Hauptverfasser:	Khlaif, Osama, Kimura, Taro
Format:	Artikel
Sprache:	eng
Schlagworte:	Algebra Classical and Quantum Gravitation Conformal and W Symmetry Constraint modelling Elementary Particles High energy physics High Energy Physics - Theory Localization M(atrix) Theories Mathematical Physics Matrix Matrix Models Partitions (mathematics) Physics Physics and Astronomy Quantum Field Theories Quantum Field Theory Quantum Physics Regular Article - Theoretical Physics Relativity Theory String Theory
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Beschreibung
Zusammenfassung:	A bstract We study the root of unity limit of ( q , t )-deformed Virasoro matrix models, for which we call the resulting model Uglov matrix model. We derive the associated Virasoro constraints on the partition function, and find agreement of the central charge with the expression obtained from the level-rank duality associated with the parafermion CFT.
ISSN:	1029-8479 1029-8479
DOI:	10.1007/JHEP04(2022)029