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arxiv: 2507.10130 · v2 · pith:7KKAQM3Hnew · submitted 2025-07-14 · 🧮 math.RT · math-ph· math.MP

Extremal unitary representations of big N=4 superconformal algebra

Victor G. Kac , Pierluigi M\"oseneder Frajria , Paolo Papi This is my paper
classification 🧮 math.RT math-phmath.MP
keywords algebrasuperconformalunitaryclassificationextremalhighestproofrepresentations
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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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