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- Title
ON THE FLATTENING OF NEGATIVE CURVATURE VIA T-DUALITY WITH A NON-CONSTANT B-FIELD.
- Authors
Krause, Axel
- Abstract
In an earlier paper, Alvarez, Alvarez-Gaumé, Barbón 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 two-form B. In this paper, we are investigating this further and ask, whether it is possible to T-dualize AdS[sub 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 component which is independent of B. By inspection of this component, we show that it is not possible to dualize AdS[sub d] to flat space irrespective of the choice of B. Finally, we examine the extension of AdS to an AdS[sub 5] × S[sup 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.
- Subjects
CURVATURE; DUALITY theory (Mathematics); CURVES
- Publication
Modern Physics Letters A, 2003, Vol 18, Issue 36, p2571
- ISSN
0217-7323
- Publication type
Article
- DOI
10.1142/S0217732303012349