Dirac quasinormal frequencies in Schwarzschild-AdS space-time

TL;DR

This paper calculates the quasinormal mode frequencies for massless Dirac fields in four-dimensional Schwarzschild-AdS space-time, providing new insights into fermionic perturbations relevant for the AdS/CFT correspondence.

Contribution

It achieves the first separation of the Dirac equation in AdS space, extending quasinormal mode analysis to spin-1/2 particles in this context.

Findings

First separation of Dirac equation in AdS space

Calculates Dirac quasinormal frequencies in Schwarzschild-AdS

Fills gap in literature on fermionic perturbations

Abstract

We investigate the quasinormal mode frequencies for the massless Dirac field in static four dimensional $AdS$ space-time. The separation of the Dirac equation is achieved for the first time in $AdS$ space. Besides the relevance that this calculation can have in the framework of the $AdS/CFT$ correspondence between M-theory on $AdS_4\times S^7$ and SU(N) super Yang-Mills theory on $M_3$, it also serves to fill in a gap in the literature, which has only been concerned with particles of integral spin $0,1,2$.