The massless integer superspin multiplets revisited

• Main Authors: Jessica Hutomo, Sergei M. Kuzenko
• Format: Article
• Language: English
• Published: SpringerOpen 2018-02-01
• Series: Journal of High Energy Physics
• Subjects: Supergravity Models; Superspaces; Supersymmetry and Duality
• Online Access: http://link.springer.com/article/10.1007/JHEP02(2018)137

Abstract We propose a new off-shell formulation for the massless N $$ \mathcal{N} $$ = 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 N $$ \mathcal{N} $$ = 2 hypermultiplet. We also give a new off-shell realisation for the massless gravitino multiplet.