We investigate quasinormal mode frequencies ${\omega }_n$ of gravitinos and generic massive spin-$\frac{3}{2}$ fields in a Schwarzschild-${\mathrm{AdS}}_D$ 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, ${\omega }_n\simeq n\mathrm{\Delta }\omega +O(\ln n)+O(n^0)$, where $\mathrm{\Delta }\omega$ 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-$\frac{1}{2}$ fields.

• Received 12 December 2013

DOI:https://doi.org/10.1103/PhysRevD.89.046001