# On the Existence of Meta-stable Vacua in Klebanov-Strassler

Abstract : We solve for the complete space of linearized deformations of the Klebanov-Strassler background consistent with the symmetries preserved by a stack of anti-D3 branes smeared on the $S^3$ of the deformed conifold. We find that the only solution whose UV physics is consistent with that of a perturbation produced by anti-D3 branes must have a singularity in the infrared, coming from NS and RR three-form field strengths whose energy density diverges. If this singularity is admissible, our solution describes the backreaction of the anti-D3 branes, and is thus likely to be dual to the conjectured metastable vacuum in the Klebanov-Strassler field theory. If this singularity is not admissible, then our analysis strongly suggests that anti-D3 branes do not give rise to metastable Klebanov-Strassler vacua, which would have dramatic consequences for some string theory constructions of de Sitter space. Key to this result is a simple, universal form for the force on a probe D3-brane in our ansatz.
Document type :
Preprints, Working Papers, ...

https://hal.archives-ouvertes.fr/hal-00526868
Contributor : Nick Halmagyi Connect in order to contact the contributor
Submitted on : Saturday, October 16, 2010 - 1:05:41 PM
Last modification on : Tuesday, December 14, 2021 - 3:56:16 AM

### Identifiers

• HAL Id : hal-00526868, version 1
• ARXIV : 0912.3519

### Citation

Iosif Bena, Mariana Grana, Nick Halmagyi. On the Existence of Meta-stable Vacua in Klebanov-Strassler. 2010. ⟨hal-00526868⟩

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