  In this work we systematically study various aspects of spin-3/2 fields in a
curved background. We mostly focus on a minimally coupled massive spin-3/2
field in arbitrary dimensions, and solve the equation of motion either
explicitly or numerically in AdS, Schwarzschild-AdS and
Reissner-Nordstr\"om-AdS backgrounds. Although not the main focus of this work,
we also make a connection with the gravitino equation of motion in gauged
supergravity. Motivated by the AdS/CFT correspondence, we emphasize
calculational improvements and technical details of the dual spectral
functions. We attempt to provide a coherent and comprehensive picture of the
existing literature.
