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arXiv · hep-th/9209030

Representations of $N=1$ Extended Superconformal Algebras with Two Generators

W. Eholzer·A. Honecker·R. Huebel
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Abstract

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.

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W. Eholzer, A. Honecker, R. Huebel. 1992-09-09. Representations of $N=1$ Extended Superconformal Algebras with Two Generators. https://doi.org/10.1142/s021773239300074x

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