  Light-cone gauge formulation of fields in AdS space and conformal field
theory in flat space adapted for the study of AdS/CFT correspondence is
developed. Arbitrary spin mixed-symmetry fields in AdS space and arbitrary spin
mixed-symmetry currents, shadows, and conformal fields in flat space are
considered on an equal footing. For the massless and massive fields in AdS and
the conformal fields in flat space, simple light-cone gauge actions leading to
decoupled equations of motion are found. For the currents and shadows, simple
expressions for all 2-point functions are also found. We demonstrate that
representation of conformal algebra generators on space of currents, shadows,
and conformal fields can be built in terms of spin operators entering the
light-cone gauge formulation of AdS fields. This considerably simplifies the
study of AdS/CFT correspondence. Light-cone gauge actions for totally symmetric
arbitrary spin long conformal fields in flat space are presented. We apply our
approach to the study of totally antisymmetric (one-column) and mixed-symmetry
(two-column) fields in AdS space and currents, shadows, and conformal fields in
flat space.
