Superembedding methods for current superfields

We extend the superembedding formalism for 4D N = 1 superconformal field theory to the case of fields in arbitrary representations of the superconformal group SU(2, 2 vertical bar 1). For 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.