Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-11-24
Mod.Phys.Lett. A18 (2003) 2571-2579
Physics
High Energy Physics
High Energy Physics - Theory
8 pages, small corrections
Scientific paper
10.1142/S0217732303012349
In an earlier paper, Alvarez, Alvarez-Gaume, Barbon and Lozano pointed out, that the only way to "flatten" negative curvature by means of a T-duality is by introducing an appropriate, non-constant NS-NS B-field. In this paper, we are investigating this further and ask, whether it is possible to T-dualize AdS_d space to flat space with some suitably chosen B. To answer this question, we derive a relationship between the original curvature tensor and the one of the T-dualized metric involving the B-field. It turns out that there is one particular component, which is independent of B. By inspection of this component, we then show, that it is not possible to dualize AdS_d to flat space irrespective of the choice of B. Finally, we examine the extension of AdS to an AdS_5 x S^5 geometry and propose a chain of S- and T-dualities together with an SL(2,Z) coordinate transformation, leading to a dual D9-brane geometry.
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