Gravitino and other spin-3/2 quasinormal modes in Schwarzschild-AdS spacetime

Abstract

We investigate quasinormal mode frequencies ${\omega }_n$ of gravitinos and generic massive spin-3/2 fields in a Schwarzschild-AdS${}_D$ background in spacetime dimension $D>3$, in the black brane (large black hole) limit appropriate to many applications of the AdS/CFT correspondence. First, we find asymptotic formulas for ${\omega }_n$ in the limit of large overtone number $n$. Asymptotically, ${\omega }_n\simeq n\Delta \omega +O(\ln n)+O(n^0)$, where $\Delta \omega$ is a known constant, and here we compute the $O(\ln n)$ and $O(n^0)$ corrections to the leading $O(n)$ behavior. Then we compare to numerical calculations of exact quasinormal mode frequencies. Along the way, we also improve the reach and accuracy of an earlier, similar analysis of spin-1/2 fields.

31 pages, 3 figures [change from v1: very minor changes to text, and some references added]

References in corpus (3)

• Quantum corrections to eta/s
• Supersymmetric hydrodynamics from the AdS/CFT correspondence
• One loop partition function from normal modes for $\mathcal{N}=1$ supergravity in AdS${}_3$

Cited by in corpus (5)

• Localization of Gravitino Field on $f(R)$ Thick Branes
• Computing black hole partition functions from quasinormal modes
• Master equations and Quasi-normal modes of spin-3/2 fields in Schwarzschild (A)dS black hole spacetimes
• Localization of Gravitino Field on Thin Branes
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes