Hunting for fermionic instabilities in charged AdS black holes

被引:5
作者
Dias, Oscar J. C. [1 ]
Masachs, Ramon [1 ]
Papadoulaki, Olga [1 ,2 ]
Rodgers, Paul [1 ]
机构
[1] Univ Southampton, STAG Res Ctr & Math Sci, Southampton, Hants, England
[2] Abdus Salaam Int Ctr Theoret Phys, Str Costiera 11, I-34151 Trieste, Italy
关键词
Black Holes; AdS-CFT Correspondence; QUASI-NORMAL MODES; DIRAC-EQUATION; DYNAMICS; ADS/CFT; BACKGROUNDS; ABSORPTION; ENERGY; FIELD;
D O I
10.1007/JHEP04(2020)196
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
Fermions scattering on a black hole background cannot develop an instability sourced by superradiance. However, in a global (or planar) AdS(4)-Reissner-Nordstrom 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-Nordstrom 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 Breitenlohner-Freedman stability bound in the AdS-Reissner-Nordstrom 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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页数:55
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