2017/10/31 by Jessica Hutomo, Sergei M. Kuzenko · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1016/j.physletb.2018.01.045
12 pages; V2: typos corrected; V3: published version
arxiv created 2018/04/20 · arxiv updated 2018/04/23
In four spacetime dimensions there exist two off-shell formulations for the massless multiplet of superspin (s+\frac 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+\frac 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 \cal 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, ….