N = 2 GAUGED WZW MODELS AND THE ELLIPTIC GENUS

Witten recently gave further evidence for the conjectured relationship between the A-series of the N = 2 minimal models and certain Landau-G inzburg models by computing the elliptic genus for the latter. The res ults agree with those of the N = 2 minimal models, as can be calculate d from the known characters of the discrete series representations of the N = 2 superconformal algebra. The N = 2 minimal models also have a lagrangian representation as supersymmetric gauged WZW models. We cal culate the elliptic genera, interpreted as a genus one path integral w ith twisted boundary conditions, for such models and recover the previ ously known result.