Conserved higher spin supercurrents for arbitrary spin massless supermultiplets and higher spin superfield cubic interactions

摘要

A bstract We give an explicit superspace construction of higher spin conserved supercurrents built out of 4 D , N = 1 $$ mathcal{N}=1 $$ massless supermultiplets of arbitrary spin. These supercurrents are gauge invariant and generate a large class of cubic interactions between a massless supermultiplet with superspin Y ~(1)= s ~(1)+ 1/2 and two massless supermultiplets of arbitrary superspin Y ~(2). These interactions are possible only for s ~(1)≥ 2 Y ~(2). At the equality, the supercurrent acquires its simplest form and defines the supersymmetric, higher spin extension of the linearized Bel-Robinson tensor.