GENERALIZED DUALITY AND SINGULAR STRINGS IN HIGHER DIMENSIONS

Author:

BARS I.1,SFETSOS K.1

Affiliation:

1. Physics Department, University of Southern California, Los Angeles, CA 90089–0484, USA

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Physics and Astronomy,Astronomy and Astrophysics,Nuclear and High Energy Physics

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