We begin a systematic study of unitary representations of minimal W-algebras. In particular, we classify unitary minimal W -algebras and make substantial progress in classification of their unitary irreducible highest weight modules. We also compute the characters of these modules.

Unitarity of Minimal W-Algebras and Their Representations I / Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - (2023). [10.1007/s00220-023-04637-5]

Unitarity of Minimal W-Algebras and Their Representations I

Paolo Papi
2023

Abstract

We begin a systematic study of unitary representations of minimal W-algebras. In particular, we classify unitary minimal W -algebras and make substantial progress in classification of their unitary irreducible highest weight modules. We also compute the characters of these modules.
2023
Almost compact involution, unitary representation of a vertex algebra; minimal W -algebra; free field realization; generalized Fairle construction; extremal weight
01 Pubblicazione su rivista::01a Articolo in rivista
Unitarity of Minimal W-Algebras and Their Representations I / Kac, Victor G.; Möseneder Frajria, Pierluigi; Papi, Paolo. - In: COMMUNICATIONS IN MATHEMATICAL PHYSICS. - ISSN 0010-3616. - (2023). [10.1007/s00220-023-04637-5]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1666782
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