N=2 gauged WZW models and the elliptic genus

Details N=2 gauged WZW models and the elliptic genus N=2 gauged WZW models and the elliptic genus

1993-07-06

arxiv.org/abs/hep-th/9307040v3

Nucl.Phys. B413 (1994) 73-83

Physics

High Energy Physics

High Energy Physics - Theory

11p, IASSNS-HEP-93/39

Scientific paper

10.1016/0550-3213(94)90614-9

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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