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Blåbäck, Johan; Danielsson, Ulf H.; Junghans, Daniel; van Riet, Thomas; Wrase, Timm; Zagermann, Marco

Smeared versus localised sources in flux compactifications. (English) Zbl 1294.81165

J. High Energy Phys. 2010, No. 12, Paper No. 043, 23 p. (2010).
Summary: We investigate whether vacuum solutions in flux compactifications that are obtained with smeared sources (orientifolds or D-branes) still survive when the sources are localised. This seems to rely on whether the solutions are BPS or not. First we consider two sets of BPS solutions that both relate to the GKP solution through T-dualities: (\(p + 1\))-dimensional solutions from spacetime-filling O\(p\)-planes with a conformally Ricci-flat internal space, and \(p\)-dimensional solutions with O\(p\)-planes that wrap a 1-cycle inside an everywhere negatively curved twisted torus. The relation between the solution with smeared orientifolds and the localised version is worked out in detail. We then demonstrate that a class of non-BPS AdS\({}_{4}\) solutions that exist for IASD fluxes and with smeared D3branes (or analogously for ISD fluxes with anti-D3-branes) does not survive the localisation of the (anti) D3-branes. This casts doubts on the stringy consistency of non-BPS solutions that are obtained in the limit of smeared sources.

Cited in 54 Documents

MSC:

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T60 Supersymmetric field theories in quantum mechanics
14M25 Toric varieties, Newton polyhedra, Okounkov bodies

Keywords:

flux compactifications; superstring vacua; D-branes
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References:

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