N=4 superconformal algebras and gauged Wess-Zumino-Witten models

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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 languageEnglish (US)
Pages (from-to)3600-3609
Number of pages10
JournalPhysical Review D
Volume47
Issue number8
DOIs
StatePublished - Jan 1 1993

All Science Journal Classification (ASJC) codes

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

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