  We extend the superembedding formalism for 4D N=1 superconformal field theory
(SCFT) to the case of fields in arbitrary representations of the superconformal
group SU(2,2|1). As applications we obtain manifestly superconformally
covariant expressions for two- and three-point functions involving conserved
currents, e.g. the supercurrent multiplet or global symmetry current
superfields. The embedding space results are presented in a compact form by
employing an index-free formalism. Our expressions are consistent with the
literature, but the manifestly covariant forms of correlators presented here
are new.
