Semi-local quantum criticality and the instability of extremal planar horizons

A bstract 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 thi...

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Bibliographic Details
Published in:The journal of high energy physics 2018-12, Vol.2018 (12), p.1-29, Article 87
Main Authors: Gralla, Samuel E., Ravishankar, Arun, Zimmerman, Peter
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Black Holes
Classical and Quantum Gravitation
Elementary Particles
Field theory
High energy physics
Holography
Holography and condensed matter physics (AdS/CMT)
Physics
Physics and Astronomy
Power law
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Stability
String Theory
Symmetry
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Summary:A bstract 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.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2018)087