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arXiv · 2507.10130

Extremal unitary representations of big $N=4$ superconformal algebra

Victor G. Kac·Pierluigi Möseneder Frajria·Paolo Papi
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Abstract

In this paper we give a detailed proof of the classification of extremal (=massless) unitary highest weight representations in the Neveu Schwarz and Ramond sectors of the big $N=4$ superconformal algebra which can be found in [5]. 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 [10], [11], and complete their proof for the big $N=4$ superconformal algebra.

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BibTeXRIS

Victor G. Kac, Pierluigi Möseneder Frajria, Paolo Papi. 2025-07-14. Extremal unitary representations of big $N=4$ superconformal algebra. https://doi.org/10.1007/s11537-026-2529-0

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