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A note on smeared branes in flux vacua and gauged supergravity

par Danielsson, Ulf U.H.;Dibitetto, Giuseppe;Fazzi, Marco ;Van Riet, Thomas
Référence The Journal of high energy physics, 2014, 4, 025
Publication Publié, 2014

Article révisé par les pairs

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Résumé :

In the known examples of flux vacua with calibrated spacetime-filling sources (branes or orientifold planes), one can smear the source in order to perform a standard KK reduction and obtain a lower-dimensional supergravity description. Furthermore, it is expected that the smeared and localized solution preserve equal amounts of supersymmetry. In this note we point out that the AdS7 solution discussed in arXiv:1111.2605 and arXiv:1309.2949 is a counterexample to this common lore. The solution is supersymmetric when the spacetime-filling D6-branes are localized but breaks supersymmetry in the smeared limit. By using the embedding tensor formalism we demonstrate that there is no gauged supergravity description for the solution, regardless of the source being smeared or not. We conjecture that for flux solutions with separation between the KK scale and AdS radius this cannot occur. © 2014 The Author(s).