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- W3100335933 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 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 d to flat space irrespective of the choice of B. Finally, we examine the extension of AdS to an AdS 5 × 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." @default.
- W3100335933 created "2020-11-23" @default.
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- W3100335933 date "2003-11-30" @default.
- W3100335933 modified "2023-09-25" @default.
- W3100335933 title "ON THE FLATTENING OF NEGATIVE CURVATURE VIA T-DUALITY WITH A NON-CONSTANT B-FIELD" @default.
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- W3100335933 doi "https://doi.org/10.1142/s0217732303012349" @default.
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