  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 $0,1,2$.
