N=1 and N=2 cosets from gauged supersymmetric WZW models
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.
Keywords
Cite
@article{arxiv.hep-th/9511229,
title = {N=1 and N=2 cosets from gauged supersymmetric WZW models},
author = {Jose M Figueroa-O'Farrill and Sonia Stanciu},
journal= {arXiv preprint arXiv:hep-th/9511229},
year = {2008}
}
Comments
12 pages, latex2e (elsart style). The .dvi and .ps files can be obtained from ftp://strings7.ph.qmw.ac.uk/pub/jmf/ 9511229.{dvi,ps} (Changed some inaccuracies in the references.)