Superconformal current algebras and their unitary representations (Q1080511)

The authors consider a supersymmetric extension \(\overline{dg_ k}\) of the affine Kac-Moody Lie algebra \(\overline{dG}\). They construct a ''minimal representation'' for \(\overline{dG_ k}\) and this allows them to obtain all the unitary heighest weight irreducible representations of \(\overline{dG_ k}\) and its super Virasoro extension \(S_ k(G)\), i.e. the semidirect sum of \(\overline{dG_ k}\) with the superconformal algebra of Neveu-Schwarz, for \(k=\), or of Ramond for \(k=0\), in terms of the corresponding, known, representations of \(\overline{dG}\).