The backreaction of anti-M2 branes on a warped Stenzel space. (English) Zbl 1250.81080
Summary: We find the superpotential governing the supersymmetric warped M-theory solution with a transverse Stenzel space found by M. Cvetič et al. [Commun. Math. Phys. 232, No. 3, 457–500 (2003; Zbl 1027.53044)], 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.
MSC:
| 81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |
| 83E50 | Supergravity |
Keywords:
gauge-gravity correspondence; supersymmetry breaking; dS vacua in string theory; AdS-CFT correspondenceCitations:
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