On the existence of meta-stable vacua in Klebanov-Strassler

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...

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Bibliographic Details
Published in:The journal of high energy physics 2010-09, Vol.2010 (9), Article 87
Main Authors: Bena, Iosif, Graña, Mariana, Halmagyi, Nick
Format: Article
Language:English
Subjects:
Branes
Classical and Quantum Gravitation
Deformation
Elementary Particles
Field theory
Flux density
High energy physics
Perturbation
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Relativity Theory
Singularities
String Theory
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Summary: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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP09(2010)087