In this paper we give a detailed proof of the classification of extrema (=massless) unitary highest weight representations in the Neveu–Schwarz and Ramond sectors of the big N = 4 superconformal algebra which can be found in [11]. Our results agree with the general conjectures about classification of unitary highest weight representation of minimal W-algebras attached to basic Lie superalgebras formulated in [15], [17], and complete their proof for the big N = 4 superconformal algebra.
Extremal unitary representations of big N = 4 superconformal algebra / Kac, V.G., Möseneder Frajria, P., Papi, P.. - In: JAPANESE JOURNAL OF MATHEMATICS. NEW SERIES. - ISSN 0289-2316. - 21:(2026), pp. 67-143. [10.1007/s11537-026-2529-0]
Extremal unitary representations of big N = 4 superconformal algebra
Paolo Papi
2026
Abstract
In this paper we give a detailed proof of the classification of extrema (=massless) unitary highest weight representations in the Neveu–Schwarz and Ramond sectors of the big N = 4 superconformal algebra which can be found in [11]. Our results agree with the general conjectures about classification of unitary highest weight representation of minimal W-algebras attached to basic Lie superalgebras formulated in [15], [17], and complete their proof for the big N = 4 superconformal algebra.| File | Dimensione | Formato | |
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