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, . . . , as well as for the massless gravitino multiplet (superspin s = 1) which requires special consideration.
Highlights
There exist only five maximally supersymmetric backgrounds in off-shell N = 1 supergravity in four dimensions [1].1 Only two of them support maximally symmetric spacetimes
We propose higher spin supercurrent multiplets for 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
Summary
In accordance with the standard Noether method (see, e.g., [28] for a review), the construction of conserved higher spin supercurrents for various supersymmetric theories in AdS is equivalent to generating consistent cubic vertices of the type HJ, where H denotes some off-shell higher spin gauge multiplet [22], and J = DpΦDqΨ is the higher spin current which is constructed in terms of some matter multiplets Φ and Ψ and the AdS covariant derivatives D This is one of the important applications of the results presented in the present paper. These results are scattered in the literature, including [32,33,34,35]
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