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

By I. Bena, M. Graña, Nick Halmagyi. 2009

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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 S3 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.

Subfields: Astronomy and Astrophysics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/09b800f3a0d5718ce4a4b6ec26d2fd5d65807b58

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Citations in the corpus

D3-brane potentials from fluxes in AdS/CFT (2010, background): “[ 35 ]) and plays an important role in D3-brane ination (see [ 17] for further details).”
The Swampland: Introduction and Review (2019, background): “One program focussed on understanding the supergravity solution of the KS throat with an anti-D3, and in particular its singular behaviour [486,528–538].”
Remarks on brane and antibrane dynamics (2014, background): “[34, 35] has argued that the dynamics of anti-D-branes is complicated and potentially unstable.”
de Sitter string vacua from dilaton-dependent non-perturbative effects (2012, background): “There has been much recent work studying the back-reaction of the brane on the geometry [16, 17, 18, 19] to develop an understanding of the system which does not rely on the probe approximation.”
Smeared versus localised sources in flux compactifications (2010, background): “It would be interesting to understand in more detail how strong the back reaction of the localised source is, perhaps in the style of the investigations done in [36].”
What if string theory has no de Sitter vacua? (2018, methodology): “Since 2009, with the work of [119] (and [133]), there has been an extended debate about the consistency of the probe approximation used for describing the uplift-effect of D3-branes.”
Inflation and String Theory (2014, background): “That is, according to [427] it is not obvious how the anti-D3-brane can serve as a source for singular three-form flux, and correspondingly these singularities are unexpected.”