English

A Note on Representations of N=2 SW-Algebras

High Energy Physics - Theory 2015-06-26 v1

Abstract

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.

Keywords

Cite

@article{arxiv.hep-th/9407068,
  title  = {A Note on Representations of N=2 SW-Algebras},
  author = {R. Blumenhagen and R. Huebel},
  journal= {arXiv preprint arXiv:hep-th/9407068},
  year   = {2015}
}

Comments

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