A Note on Representations of N=2 SW-Algebras

Details A Note on Representations of N=2 SW-Algebras A Note on Representations of N=2 SW-Algebras

1994-07-13

arxiv.org/abs/hep-th/9407068v1

Mod.Phys.Lett. A9 (1994) 3193-3204

Physics

High Energy Physics

High Energy Physics - Theory

11 pages + 7 figures (postscript); plain TeX, psfig.tex; BONN-TH-94-08

Scientific paper

We investigate the representation theory of some recently constructed N=2 super W-algebras with two generators. Except for the central charges in the unitary minimal series of the N=2 super Virasoro algebra we find no new rational models. However, from our results it is possible to arrange all known N=2 super W-algebras with two generators and vanishing self-coupling constant into four classes. For the algebras existing for c >= 3 which can be understood by the spectral flow of the N=2 super Virasoro algebra we find that the representations have quantized U(1) charge.

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