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The Backreaction of Anti-M2 Branes on a Warped Stenzel Space

Abstract : We find the superpotential governing the supersymmetric warped M-theory solution with a transverse Stenzel space found by Cvetic, Gibbons, Lu and Pope in hep-th/0012011, and use this superpotential to extract and solve the twelve coupled equations underlying the first-order backreacted solution of a stack of anti-M2 branes in this space. These anti-M2 branes were analyzed recently in a probe approximation by Klebanov and Pufu, who conjectured that they should be dual to a metastable vacuum of a supersymmetric 2+1 dimensional theory. We find that the would-be supergravity dual to such a metastable vacuum must have an infrared singularity and discuss whether this singularity is acceptable or not. Given that a similar singularity appears when placing anti-D3 branes in the Klebanov-Strassler solution, our work strengthens the possibility that anti-branes in warped throats do not give rise to metastable vacua.
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https://hal-cea.archives-ouvertes.fr/cea-00825818
Contributor : Bruno Savelli <>
Submitted on : Friday, May 24, 2013 - 4:10:08 PM
Last modification on : Friday, March 27, 2020 - 3:01:16 AM

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Iosif Bena, Gregory Giecold, Nick Halmagyi. The Backreaction of Anti-M2 Branes on a Warped Stenzel Space. Journal of High Energy Physics, Springer, 2011, pp.120. ⟨10.1007/JHEP04(2011)120⟩. ⟨cea-00825818⟩

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