Higher spin supermultiplets in three dimensions: (2,0) AdS supersymmetry

Abstract

Within the framework of (2,0) anti-de Sitter (AdS) supersymmetry in three dimensions, we propose a multiplet of higher-spin currents. Making use of this supercurrent, we construct two off-shell gauge formulations for a massless multiplet of half-integer superspin $(s+\frac{1}{2})$, for every integer $s>0$. In the $s=1$ case, one formulation describes the linearised action for (2,0) anti-de Sitter supergravity, while the other gives the type III minimal supergravity action in (2,0) AdS superspace, with both linearised supergravity actions originally derived in arXiv:1109.0496. The constructed massless actions are then used to formulate topologically massive higher-spin supermultiplets in (2,0) AdS superspace. Our results admit a natural extension to the case of $S^3$.

arXiv comment20 pages; V2: typos corrected, references and comments added, new models described; V3: typos in eqs. (4.8) and (4.12) corrected. arXiv admin note: text overlap with arXiv:1807.09098

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Cited by in corpus (7)

• Conformal geometry and (super)conformal higher-spin gauge theories
• Cubic interactions of arbitrary spin fields in 3d flat space
• $\mathcal{N}=2$ supersymmetric higher spin gauge theories and current multiplets in three dimensions
• Linearised actions for $\mathcal{N}$-extended (higher-spin) superconformal gravity
• Field theories with (2,0) AdS supersymmetry in $\mathcal{N}=1$ AdS superspace
• Spinors in Supersymmetric dS/CFT
• Higher-spin gauge models with (1,1) supersymmetry in AdS${}_3$: Reduction to (1,0) superspace