  Induced supersymmetry representations on composite operators are studied. In
superspace the ensuing transformation rules (trivially) lead to an effective
superfield. On the other hand, an induced representation must exist for
non-linear (``on-shell'') supersymmetry as well. As this choice of the
representation is physically irrelevant, any formulation of an effective action
starting from the superspace representation must equally well be possible in a
non-linear representation. We show that this leads to very relevant constraints
on the formulation of effective actions in terms of composite operators. These
ideas are applied to the simplest case of such a theory, N=1 SYM. It is shown
that soft supersymmetry breaking within that theory forces one to include
besides the Lagrangian multiplet S all currents of the super-conformal
structure, embedded in a supergravity background, as relevant fields.
