Non-conformal higher spin supercurrents

In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin (s+12), where s=2,3,…. These supersymmetric higher spin gauge theories, known as longitudinal and transverse, are dual to each other and describe two massless fields of spin (s+12) and (s+1) upon elimination of the auxiliary fields. They respectively reduce, in the limiting case of s=1, to the linearised actions for the old minimal and the n=−1 non-minimal N=1 supergravity theories. Associated with these gauge massless theories are non-conformal higher spin supercurrent multiplets which we describe. We demonstrate that the longitudinal higher spin supercurrents are realised in the model for a massive chiral scalar superfield only if s is odd, s=2n+1, with n=1,2,….