2017/11/30 by Jessica Hutomo, Sergei M. Kuzenko · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1007/jhep02(2018)137
18 pages; V2: typos corrected, comments and references added; V3: published version
arxiv created 2018/03/13 · arxiv updated 2018/04/04
We propose a new off-shell formulation for the massless \cal N=1 supersymmetric multiplet of integer superspin s in four dimensions, where s =2,3,… (the s=1 case corresponds to the gravitino multiplet). Its gauge freedom matches that of the superconformal superspin-s multiplet described in arXiv:1701.00682. The gauge-invariant action involves two compensating multiplets in addition to the superconformal superspin-s multiplet. Upon imposing a partial gauge fixing, this action reduces to the one describing the so-called longitudinal formulation for the massless superspin-s multiplet. Our new model is shown to possess a dual realisation obtained by applying a superfield Legendre transformation. We present a non-conformal higher spin supercurrent multiplet associated with the new integer superspin theory. This fermionic supercurrent is shown to occur in the Fayet-Sohnius model for a massive \cal N=2 hypermultiplet. We also give a new off-shell realisation for the massless gravitino multiplet.