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Smeared versus localised sources in flux compactifications

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arxiv 1009.1877 v2 pith:C5RQFSTH submitted 2010-09-09 hep-th

Johan Bl{aa}bäck , Ulf H. Danielsson , Daniel Junghans , Thomas Van Riet , Timm Wrase , Marco Zagermann This is my paper
classification hep-th
keywords solutionssmearedsourceslocalisedcompactificationsd3-branesfluxfluxes
verification ladder T0 review T1 audit T2 compute T3 formal
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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 Op-planes with a conformally Ricci-flat internal space, and p-dimensional solutions with Op-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 D3-branes (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.

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Cited by 3 Pith papers

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