Duality invariant class of exact string backgrounds

Details Duality invariant class of exact string backgrounds Duality invariant class of exact string backgrounds

1993-11-02

arxiv.org/abs/hep-th/9311012v1

Phys.Lett.B323:305-310,1994

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, harvmac, CERN-TH.7069/93

Scientific paper

10.1016/0370-2693(94)91224-6

We consider a class of $2+D$ - dimensional string backgrounds with a target space metric having a covariantly constant null Killing vector and flat `transverse' part. The corresponding sigma models are invariant under $D$ abelian isometries and are transformed by $O(D,D)$ duality into models belonging to the same class. The leading-order solutions of the conformal invariance equations (metric, antisymmetric tensor and dilaton), as well as the action of $O(D,D)$ duality transformations on them, are exact, i.e. are not modified by $\a'$-corrections. This makes a discussion of different space-time representations of the same string solution (related by $O(D,D|Z)$ duality subgroup) rather explicit. We show that the $O(D,D)$ duality may connect curved $2+D$-dimensional backgrounds with solutions having flat metric but, in general, non-trivial antisymmetric tensor and dilaton. We discuss several particular examples including the $2+D=4$ - dimensional background that was recently interpreted in terms of a WZW model.

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