A NOTE ON REPRESENTATIONS OF N=2 SW-ALGEBRAS

We investigate the representation theory of some recently constructed N = 2 super W-algebras with two generators. Except for the central cha rges in the unitary minimal series of the N = 2 super Virasoro algebra we find no new rational models. However, from our results it is possi ble to arrange all known N = 2 super W-algebras with two generators an d vanishing self-coupling constant into four classes. For the algebras existing for c greater-than-or-equal-to 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.