Spin 1/2 quasinormal mode frequencies in Schwarzschild-AdS spacetime

Abstract

We find the asymptotic formula for quasinormal mode frequencies omega_n of the Dirac equation in a Schwarzschild-AdS_D background in space-time dimension D > 3, in the large black-hole limit appropriate to many applications of the AdS/CFT correspondence. By asymptotic, we mean large overtone number n with everything else held fixed, and we find the O(n^0) correction to the known leading O(n) behavior of omega_n. The result has the schematic form omega_n =~ n Delta(omega) + A ln(n) + B, where Delta(omega) and A are constants and B depends logarithmically on the (D-2)-dimensional spatial momentum k parallel to the horizon. We show that the asymptotic result agrees well with exact quasinormal mode frequencies computed numerically.

24 pages, 5 figures

References in corpus (6)

• Quasinormal modes of black holes: from astrophysics to string theory
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• The Spin of Holographic Electrons at Nonzero Density and Temperature
• Higher spin fermions in the BTZ black hole
• Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime
• Fermionic Schwinger-Keldysh Propagators from AdS/CFT

Cited by in corpus (5)

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• Computing black hole partition functions from quasinormal modes
• Solutions of the massive Dirac equation in the near-horizon metric of the extremal five dimensional Myers-Perry black hole with equal angular momenta
• Gravitino and other spin-3/2 quasinormal modes in Schwarzschild-AdS spacetime
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes