  Fermionic totally symmetric arbitrary spin massless fields in AdS space of
dimension greater than or equal to four are studied. Using Poincar\'e
parametrization of AdS space, CFT adapted gauge invariant formulation for such
fields is developed. We demonstrate that the curvature and radial coordinate
contributions to Lagrangian and gauge transformation of the AdS fields can be
expressed in terms of ladder operators. Covariant and modified de Donder gauge
conditions are proposed. The modified de Donder gauge leads to decoupled
equations of motion which can easily be solved in terms of the Bessel function.
The AdS/CFT correspondence for conformal current and shadow field and the
respective normalizable and non-normalizable modes of fermionic massless AdS
field is studied. The AdS field is considered by using the modified de Donder
gauge which simplifies considerably the study of AdS/CFT correspondence. We
show that on-shell leftover gauge symmetries of bulk massless field are related
to gauge symmetries of boundary conformal current and shadow field. We compute
the bulk action on solution of the Dirichlet problem and obtain two-point gauge
invariant vertex of shadow field. Also we shown that the UV divergence of the
two-point gauge invariant vertex gives higher-derivative action of fermionic
conformal field.
