Unconstrained Massless Higher Spin Supermultiplet in AdS${}_4$

Abstract

We consider unconstrained formulation of the higher spin gauge theory in anti de Sitter (AdS) spacetime, given by actions [1, 2], and provide on-shell supersymmetry transformations for the $\mathcal{N}=1$ unconstrained massless higher spin supermultiplet in four-dimensional AdS${}_4$. Such an irreducible supermultiplet $({\Phi }_1,{\Phi }_2;{\Psi }_1,{\Psi }_2)$ contains a pair of bosonic fields, with opposite parity, which are generating functions (infinite collection of totally symmetric real tensor fields of all integer rank $s=0,1,\dots ,\infty$), as well as two fermionic fields, which have opposite signs of the AdS radius, that are spinorial generating functions (infinite tower of totally symmetric Majorana spinor-tensor fields of all half-integer spin $s=\frac{1}{2},\frac{3}{2},\dots ,\infty$).

17 pages; (v2): improved version; appendix, matrix notation, and references added. (v3): minor clarifications added, accepted version in PRD

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• Current Exchanges and Unconstrained Higher Spins
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• Massive N=1 supermultiplets with arbitrary superspins
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• Higher Spins in Hyper-Superspace
• Cubic interactions of arbitrary spin fields in 3d flat space
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Cited by in corpus (2)

• Off-shell Supersymmetric Continuous Spin Gauge Theory
• Light-cone gauge massive and partially-massless fields in AdS(4)