Extremal unitary representations of big N=4 superconformal algebra

2025/07/14 by Kac, Victor G., Frajria, Pierluigi Möseneder, Papi, Paolo · 1 citation
#FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2507.10130

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.

Citations

• Unitarity of minimal W-algebras and their representations II: Ramond sector
• Unitary vertex operator algebras
• Homogeneous Hypercomplex Structures and the Joyce's Construction
• On the unitary representations of a class of N = 4 superconformal algebras

Cited by

• Spectral flow and application to unitarity of representations of minimal W-algebras

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