In this paper we study unitary Ramond twisted representations of minimal W-algebras. We classify all such irreducible highest weight representations with highest weight which is not Ramond extremal (unitarity in the Ramond extremal case, as well as in the untwisted extremal case, remains open). We compute the characters of these representations and deduce from them the denominator identities for all superconfor- mal algebras in the Neveu–Schwarz and Ramond sector. Some of the results rely on conjectures about the properties of the quantum Hamiltonian reduction functor in the Ramond secto

Unitarity of minimal W-algebras and their representations II: Ramond sector / Kac Victor, G., Möseneder Frajria, P., Papi, P.. - In: JAPANESE JOURNAL OF MATHEMATICS. NEW SERIES. - ISSN 0289-2316. - 20:(2025), pp. 169-281.

Unitarity of minimal W-algebras and their representations II: Ramond sector.

Papi Paolo
2025

Abstract

In this paper we study unitary Ramond twisted representations of minimal W-algebras. We classify all such irreducible highest weight representations with highest weight which is not Ramond extremal (unitarity in the Ramond extremal case, as well as in the untwisted extremal case, remains open). We compute the characters of these representations and deduce from them the denominator identities for all superconfor- mal algebras in the Neveu–Schwarz and Ramond sector. Some of the results rely on conjectures about the properties of the quantum Hamiltonian reduction functor in the Ramond secto
2025
almost compact involution; unitary representation of a ver- tex algebra; free field realization; Ramond twisted representation; Ramond extremal representation; twisted quantum Hamiltonian reduction; Zhu algebra
01 Pubblicazione su rivista::01a Articolo in rivista
Unitarity of minimal W-algebras and their representations II: Ramond sector / Kac Victor, G., Möseneder Frajria, P., Papi, P.. - In: JAPANESE JOURNAL OF MATHEMATICS. NEW SERIES. - ISSN 0289-2316. - 20:(2025), pp. 169-281.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1769449
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