Hunting for fermionic instabilities in charged AdS black holes

A bstract Fermions scattering on a black hole background cannot develop an instability sourced by superradiance. However, in a global (or planar) AdS 4 -Reissner-Nordström background fermions can violate the AdS 2 fermionic mass stability bound as measured by a near horizon observer at zero temperat...

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Bibliographic Details
Published in:The journal of high energy physics 2020-04, Vol.2020 (4), p.1-55, Article 196
Main Authors: Dias, Oscar J.C., Masachs, Ramon, Papadoulaki, Olga, Rodgers, Paul
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Black Holes
Boundary conditions
Classical and Quantum Gravitation
Elementary Particles
Fermions
High energy physics
Horizon
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
Scalars
Stability
String Theory
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Summary:A bstract Fermions scattering on a black hole background cannot develop an instability sourced by superradiance. However, in a global (or planar) AdS 4 -Reissner-Nordström background fermions can violate the AdS 2 fermionic mass stability bound as measured by a near horizon observer at zero temperature. This suggests that AdS-Reissner-Nordström black holes might still be unstable to Dirac perturbations. Motivated by this observation we search for linear mode instabilities of Dirac fields in these backgrounds but find none. This is in contrast with the scalar field case, where a violation of the near-horizon Breitenlöhner-Freedman stability bound in the AdS-Reissner-Nordström background triggers the already known scalar condensation near-horizon linear instability (in the planar limit this is Gubser’s instability that initiated the holographic superconductor programme). We consider both the standard and alternative AdS/CFT quantizations (that preserve the conformal invariance of AdS). These are reflective boundary conditions that have vanishing energy flux at the asymptotic boundary.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2020)196