Stability in Einstein-Scalar Gravity with a Logarithmic Branch
| Autor: | Matthew M. Roberts, Aaron J. Amsel |
|---|---|
| Rok vydání: | 2011 |
| Předmět: |
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 |
| DOI: | 10.48550/arxiv.1112.3964 |
| Popis: | 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. Comment: 31 pages, 7 figures |
| Databáze: | OpenAIRE |
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