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Hunting for fermionic instabilities in charged AdS black holes

Hunting for fermionic instabilities in charged AdS black holes
Hunting for fermionic instabilities in charged AdS black holes
Fermions scattering on a black hole background cannot develop an instability sourced by superradiance. However, in a global (or planar) AdS4-Reissner-Nordström background fermions can violate the AdS2 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.
AdS-CFT Correspondence, Black Holes
1029-8479
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Masachs Gonzalez, Ramon
59aea1a5-1389-43c2-9ffc-5691d8717763
Papadoulaki, Olga
f580a9e4-48cf-49f9-bbd1-37a48b307c42
Rodgers, Paul William
458881c5-fb65-497c-8163-8bedfadc55e1
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Masachs Gonzalez, Ramon
59aea1a5-1389-43c2-9ffc-5691d8717763
Papadoulaki, Olga
f580a9e4-48cf-49f9-bbd1-37a48b307c42
Rodgers, Paul William
458881c5-fb65-497c-8163-8bedfadc55e1

Campos Dias, Oscar, Masachs Gonzalez, Ramon, Papadoulaki, Olga and Rodgers, Paul William (2020) Hunting for fermionic instabilities in charged AdS black holes. Journal of High Energy Physics, 2020 (04(2020)196), [196]. (doi:10.1007/JHEP04(2020)196).

Record type: Article

Abstract

Fermions scattering on a black hole background cannot develop an instability sourced by superradiance. However, in a global (or planar) AdS4-Reissner-Nordström background fermions can violate the AdS2 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.

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More information

Accepted/In Press date: 8 April 2020
Published date: 29 April 2020
Keywords: AdS-CFT Correspondence, Black Holes

Identifiers

Local EPrints ID: 441483
URI: http://eprints.soton.ac.uk/id/eprint/441483
ISSN: 1029-8479
PURE UUID: 696dc0d8-8001-409c-aafe-9612732f80eb
ORCID for Oscar Campos Dias: ORCID iD orcid.org/0000-0003-4855-4750
ORCID for Paul William Rodgers: ORCID iD orcid.org/0000-0002-5348-4956

Catalogue record

Date deposited: 15 Jun 2020 16:31
Last modified: 26 Nov 2021 03:11

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Contributors

Author: Ramon Masachs Gonzalez
Author: Olga Papadoulaki
Author: Paul William Rodgers ORCID iD

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