  Interactions of massless fields of all spins in four dimensions with currents
of any spin is shown to result from a solution of the linear problem that
describes a gluing between rank-one (massless) system and rank-two (current)
system in the unfolded dynamics approach. Since the rank-two system is dual to
a free rank-one higher-dimensional system, that effectively describes conformal
fields in six space-time dimensions, the constructed system can be interpreted
as describing a mixture between linear conformal fields in four and six
dimensions. Interpretation of the obtained results in spirit of AdS/CFT
correspondence is discussed.
