Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1992-09-09
Mod.Phys.Lett. A8 (1993) 725-738
Physics
High Energy Physics
High Energy Physics - Theory
14 pages (Plain TeX), BONN-HE-92-28
Scientific paper
In this paper we consider the representation theory of N=1 Super-W-algebras with two generators for conformal dimension of the additional superprimary field between two and six. In the superminimal case our results coincide with the expectation from the ADE-classification. For the parabolic algebras we find a finite number of highest weight representations and an effective central charge $\tilde c = 3/2$. Furthermore we show that most of the exceptional algebras lead to new rational models with $\tilde c > 3/2$. The remaining exceptional cases show a new `mixed' structure. Besides a continuous branch of representations discrete values of the highest weight exist, too.
Eholzer Wolgang
Honecker Andreas
Huebel R.
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