N=4 Superconformal Algebras and Gauged WZW Models

Details N=4 Superconformal Algebras and Gauged WZW Models N=4 Superconformal Algebras and Gauged WZW Models

1993-01-13

arxiv.org/abs/hep-th/9301049v1

Phys.Rev.D47:3600-3609,1993

Physics

High Energy Physics

High Energy Physics - Theory

26 pp, IASSNS-HEP-92/85

Scientific paper

10.1103/PhysRevD.47.3600

As shown by Witten the N=1 supersymmetric gauged WZW model based on a group G has an extended N=2 supersymmetry if the gauged subgroup H is so chosen that G/H is Kahler. We extend Witten's result and prove that the N=1 supersymmetric gauged WZW models over G X U(1) are actually invariant under N=4 superconformal transformations if the gauged subgroup H is such that G/HXSU(2) is a quaternionic symmetric space. A previous construction of "maximal" N=4 superconformal algebras with SU(2)XSU(2)XU(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.

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