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N=1 and N=2 cosets from gauged supersymmetric WZW models

Jose M Figueroa-O'Farrill·Sonia Stanciu
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Abstract

We present a derivation of the N=1 and N=2 superconformal coset constructions starting from a supersymmetric WZW model where a diagonal subgroup has been gauged. We work in the general framework of self-dual (not necessarily reductive) Lie algebras; but even in the reductive case these results are new. We show that the BRST cohomology of the gauged supersymmetric WZW model contains the N=1 (and if it exists also the N=2) coset generators. We also extend the BRST analysis to show that the BRST cohomology of the supersymmetric WZW model agrees with that of an ordinary bosonic WZW model (in a representation twisted by the presence of the coset fermions). In particular, in the case of the topological G/G coset, the supersymmetric and nonsupersymmetric theories agree.

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Jose M Figueroa-O'Farrill, Sonia Stanciu. 1995-12-02. N=1 and N=2 cosets from gauged supersymmetric WZW models. https://arxiv.org/abs/hep-th/9511229

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