Semi-local Quantum Criticality and the Instability of Extremal Planar Horizons
arXiv:1808.07053 · doi:10.1007/JHEP12(2018)087
Abstract
We show that the Aretakis instability of compact extremal horizons persists in the planar case of interest to holography and discuss its connection with the emergence of "semi-local quantum criticality" in the field theory dual. In particular, the spatially localized power-law decay of this critical phase corresponds to spatially localized power-law growth of stress-energy on the horizon. For near-extremal black holes these phenomena occur transiently over times of order the inverse temperature. The boundary critical phase is characterized by an emergent temporal conformal symmetry, and the bulk instability seems to be essential to preserving the symmetry in the presence of interactions. We work primarily in the solvable example of charged scalar perturbations of five-dimensional (near-)extremal planar Reissner-Nordström anti-de Sitter spacetime and argue that the conclusions hold more generally.
arXiv comment23 pages. v2 contains a reference update
References in corpus (27)
- Charged AdS Black Holes and Catastrophic Holography
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Locally critical quantum phase transitions in strongly correlated metals
- Onset of antiferromagnetism in heavy fermion metals
- Emergent quantum criticality, Fermi surfaces, and AdS2
- Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations I
- Landscape of superconducting membranes
- Stability and Instability of Extreme Reissner-Nordström Black Hole Spacetimes for Linear Scalar Perturbations II
- Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
- Slow relaxation of rapidly rotating black holes
- Quantum phase transitions in holographic models of magnetism and superconductors
- Gravitational instability of an extreme Kerr black hole
- On the horizon instability of an extreme Reissner-Nordström black hole
- Semi-local quantum liquids
- Holographic non-Fermi liquid fixed points
- What happens at the horizon(s) of an extreme black hole?
- Horizon Instability of Extremal Kerr Black Holes: Nonaxisymmetric Modes and Enhanced Growth Rate
- A note on instabilities of extremal black holes under scalar perturbations from afar
- Inspiral into Gargantua
- Lectures on holographic non-Fermi liquids and quantum phase transitions
- Transient Instability of Rapidly Rotating Black Holes
- Gravitational waves from plunges into Gargantua
- Critical Exponents of Extremal Kerr Perturbations
- Horizon instability of extremal Reissner-Nordström black holes to charged perturbations
- Is there a breakdown of effective field theory at the horizon of an extremal black hole?
- Scaling and Universality in Extremal Black Hole Perturbations
- Linearized Stability of Extreme Black Holes