### Abstract

As shown by Witten the N=1 supersymmetric gauged Wess-Zumino-Witten (WZW) model based on a group G has an extended N=2 supersymmetry if the gauged subgroup H is so chosen that GH is Kähler type. We extend Witten's result and prove that the N=1 supersymmetric gauged WZW models over G×U(1) are actually invariant under N=4 superconformal transformations if the gauged subgroup H is such that G[H×SU(2)] is a quaternionic symmetric space. A previous construction of "maximal" N=4 superconformal algebras with SU(2)×SU(2)×U(1) symmetry is reformulated and further developed so as to relate them to the N=4 gauged WZW models. Based on earlier results we expect the quantization of N=4 gauged WZW models to yield the unitary realizations of maximal N=4 superconformal algebras provided by this construction.

Original language | English (US) |
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Pages (from-to) | 3600-3609 |

Number of pages | 10 |

Journal | Physical Review D |

Volume | 47 |

Issue number | 8 |

DOIs | |

State | Published - Jan 1 1993 |

### All Science Journal Classification (ASJC) codes

- Nuclear and High Energy Physics
- Physics and Astronomy (miscellaneous)