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Journal of High Energy Physics

, 2018:87 | Cite as

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

  • Samuel E. Gralla
  • Arun Ravishankar
  • Peter ZimmermanEmail author
Open Access
Regular Article - Theoretical Physics
  • 55 Downloads

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.

Keywords

AdS-CFT Correspondence Black Holes Holography and condensed matter physics (AdS/CMT) 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Samuel E. Gralla
    • 1
  • Arun Ravishankar
    • 1
  • Peter Zimmerman
    • 1
    Email author
  1. 1.Department of PhysicsUniversity of ArizonaTucsonU.S.A.

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