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.

arXiv comment61 pages; V2: typos corrected, comments added; V3: published version

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• Unconstrained off-shell superfield formulation of $4D,\mathcal{N}=2$ supersymmetric higher spins
• Conformal geometry and (super)conformal higher-spin gauge theories
• Off-shell cubic hypermultiplet couplings to $\mathcal{N}=2$ higher spin gauge superfields
• Extended superconformal higher-spin gauge theories in four dimensions
• Integer superspin supercurrents of matter supermultiplets
• Symmetries of supergravity backgrounds and supersymmetric field theory
• $\mathcal{N}=2$ higher spins: superfield equations of motion, the hypermultiplet supercurrents, and the component structure
• $\mathcal{N}=2$ supersymmetric higher spin gauge theories and current multiplets in three dimensions
• Superspace formulation of massive half-integer superspin
• Conformal interactions between matter and higher-spin (super)fields
• Hierarchy of Supersymmetric Higher Spin Connections
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ superconformal field theory
• AdS superprojectors
• On higher-spin $\mathcal{N}=2$ supercurrent multiplets
• Field theories with (2,0) AdS supersymmetry in $\mathcal{N}=1$ AdS superspace
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• Spinors in Supersymmetric dS/CFT
• Superspace First Order Formalism, Trivial Symmetries and Electromagnetic Interactions of Linearized Supergravity
• Three-point functions of higher-spin supercurrents in 4D $\mathcal{N}=1$ SCFT: general formalism for arbitrary superspins
• Diagonalization Procedure for Reducible Massless N=1 Supermultiplets
• Superspace First-order Formalism for Massless Arbitrary Superspin Supermultiplets
• Three-point functions of higher-spin spinor current multiplets in $\mathcal{N}=1$ superconformal theory