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| File | Dimensione | Formato | |
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