New stability results for Einstein scalar gravity

Abstract

We consider asymptotically anti de Sitter gravity coupled to a scalar field with mass slightly above the Breitenlohner-Freedman bound. This theory admits a large class of consistent boundary conditions characterized by an arbitrary function $W$. An important open question is to determine which $W$ admit stable ground states. It has previously been shown that the total energy is bounded from below if $W$ is bounded from below and the bulk scalar potential $V(\varphi )$ admits a suitable superpotential. We extend this result and show that the energy remains bounded even in some cases where $W$ can become arbitrarily negative. As one application, this leads to the possibility that in gauge/gravity duality, one can add a double trace operator with negative coefficient to the dual field theory and still have a stable vacuum.

References in corpus (6)

• Building an AdS/CFT superconductor
• Holographic superconductivity in M-Theory
• Towards a Novel no-hair Theorem for Black Holes
• Thermal inflation, baryogenesis and axions
• Multitrace deformations, Gamow states, and Stability of AdS/CFT
• Fragmentation of Spinning Branes

Cited by in corpus (44)

• Holographic and Wilsonian Renormalization Groups
• An Apologia for Firewalls
• Numerical Methods for Finding Stationary Gravitational Solutions
• Quantum critical lines in holographic phases with (un)broken symmetry
• Vortices in holographic superfluids and superconductors as conformal defects
• Thermal Order in Conformal Theories
• Naturally light dilatons from nearly marginal deformations
• A soliton menagerie in AdS
• A Simple Holographic Insulator
• Multitrace deformations, Gamow states, and Stability of AdS/CFT
• Superradiance in the BTZ black hole with Robin boundary conditions
• Conformal solids and holography
• The holographic quantum effective potential at finite temperature and density
• Holographic quantum criticality from multi-trace deformations
• Hairy Black Holes and Duality in an Extended Supergravity Model
• Quantum Quench and Double Trace Couplings
• Holographic RG flows and nearly-marginal operators
• Kibble-Zurek Scaling in Holographic Quantum Quench : Backreaction
• Josephson Junctions and AdS/CFT Networks
• Strategy to Construct Exact Solutions in Einstein-Scalar Gravities
• Spinning scalar solitons in anti-de Sitter spacetime
• Holographic Butterfly Effect and Diffusion in Quantum Critical Region
• Black brane solutions and their solitonic extremal limit in Einstein-scalar gravity
• A Natural Hierarchy and a low New Physics scale from a Bulk Higgs
• The Penrose Inequality as a Constraint on the Low Energy Limit of Quantum Gravity
• Neutral Order Parameters in Metallic Criticality in d=2+1 from a Hairy Electron Star
• Scaling symmetry and scalar hairy rotating AdS_3 black holes
• Hairy Black Hole Stability in AdS, Quantum Mechanics on the Half-Line and Holography
• Constructing black hole solutions in supergravity theories
• Banishing AdS ghosts with a UV cutoff
• Holographic superconductors at zero density
• Stability in Einstein-Scalar Gravity with a Logarithmic Branch
• Dissipative Nonlinear Dynamics in Holography
• Vacuum Decay Actions from Tunneling Potentials for General Spacetime Dimension
• Hairy black holes in AdS with Robin boundary conditions
• Instantons in AdS${}_4$ From (anti)Membranes Wrapping $S^7$ To Bose-Fermi Duality in CFT${}_3$'s
• Revisit to Thermodynamic Relations in the AdS/CMT Models
• Holographic Superconductors in a Cohesive Phase
• Symmetry Breaking Phase Transitions in ABJM Theory with a Finite U(1) Chemical Potential
• A holographic realization of light dilatons
• Spherical perturbations of hairy black holes in designer gravity theories
• Stability in Holographic Theories with Irrelevant Deformations
• A new energy bound for Einstein-Scalar theory in AlAdS${}_4$ and holographic bound for deformed CFT${}_3$
• Supergravity Induced Interactions on Thick Branes