GENERALIZED DUALITY AND SINGULAR STRINGS IN HIGHER DIMENSIONS

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Abstract
Deformations of gauged WZW actions are constructed for any pair (G, H) by taking different embeddings of the gauge group H⊂G as it acts on the left and right of the group element g. This leads to models that are dual to each other, generalizing the axial/vector duality of the two-dimensional black hole manifold. The classical equations are completely solved for any pair (G, H) and in particular for the anti-de-Sitter string based on SO (d−1,2)/ SO (d−1,1) for which the normal modes are determined. Duality is demonstrated for models that have the same set of normal modes. Concentrating on SO (2, 2)/ SO (2, 1), the metric and dilaton fields of the d=3 string as well as some of the dual generalizations are obtained. They have curvature singularities and represent new singular solutions of Einstein’s general relativity in three dimensions.

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