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Stability in Einstein-Scalar Gravity with a Logarithmic Branch
- Publication Year :
- 2011
- Publisher :
- arXiv, 2011.
-
Abstract
- We investigate the non-perturbative stability of asymptotically anti-de Sitter gravity coupled to tachyonic scalar fields with mass saturating the Breitenlohner-Freedman bound. Such "designer gravity" theories admit a large class of boundary conditions at asymptotic infinity. At this mass, the asymptotic behavior of the scalar field develops a logarithmic branch, and previous attempts at proving a minimum energy theorem failed due to a large radius divergence in the spinor charge. In this paper, we finally resolve this issue and derive a lower bound on the conserved energy. Just as for masses slightly above the BF bound, a given scalar potential can admit two possible branches of the corresponding superpotential, one analytic and one non-analytic. The key point again is that existence of the non-analytic branch is necessary for the energy bound to hold. We discuss several AdS/CFT applications of this result, including the use of double-trace deformations to induce spontaneous symmetry breaking.<br />Comment: 31 pages, 7 figures
- Subjects :
- Physics
High Energy Physics - Theory
Nuclear and High Energy Physics
010308 nuclear & particles physics
Spontaneous symmetry breaking
Supergravity
Superpotential
Scalar (mathematics)
FOS: Physical sciences
Scalar potential
General Relativity and Quantum Cosmology (gr-qc)
01 natural sciences
Upper and lower bounds
General Relativity and Quantum Cosmology
AdS/CFT correspondence
Classical mechanics
High Energy Physics - Theory (hep-th)
0103 physical sciences
010306 general physics
Scalar field
Mathematical physics
Subjects
Details
- Database :
- OpenAIRE
- Accession number :
- edsair.doi.dedup.....9f526c028b34bf46cf696b5fed422356
- Full Text :
- https://doi.org/10.48550/arxiv.1112.3964