Higher spin supercurrents in anti-de Sitter space

Abstract

We propose higher spin supercurrent multiplets for $\mathcal{N}=1$ supersymmetric field theories in four-dimensional anti-de Sitter space (AdS). Their explicit realisations are derived for various supersymmetric theories, including a model of $N$ massive chiral scalar superfields with an arbitrary mass matrix. We also present new off-shell gauge formulations for the massless $\mathcal{N}=1$ supersymmetric multiplet of integer superspin $s$ in AdS, where $s=2,3,\dots$, as well as for the massless gravitino multiplet (superspin $s=1$) which requires special consideration.

61 pages; V2: typos corrected, comments added; V3: published version