A NOTE ON REPRESENTATIONS OF N=2 SW-ALGEBRAS

Abstract

We investigate the representation theory of some recently constructed N=2 super [Formula: see text]-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 [Formula: see text]-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.