Abstract
Witten recently gave further evidence for the conjectured relationship between the A-series of the N = 2 minimal models and certain Landau-Ginzburg models by computing the elliptic genus for the latter. The results agree with those of the N = 2 minimal models, as can be calculated 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 calculate the elliptic genera, interpreted as a genus one path integral with twisted boundary conditions, for such models and recover the previously known result.
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