On Higher Spin Symmetries in AdS_{5}

Abstract

A special embedding of the SU(4) algebra in SU(10), including both spin two and spin three symmetry generators, is constructed. A possible five dimensional action for massless spin two and three fields with cubic interaction is constructed. The connection with the previously investigated higher spin theories in $Ad{S}_5$ background is discussed. Generalization to the more general case of symmetries, including spins $2,3,\dots s$, is shown.

24 pages, Latex, v.2, minor corrections, references added, v.3, revised version, accepted for publication in JHEP

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• Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• New Conformal Higher Spin Gravities in $3d$
• Partially Massless Higher-Spin Theory
• Notes on higher-spin algebras: minimal representations and structure constants
• Formal Higher Spin Gravities
• Looking for partially-massless gravity
• Geometrical structure of Weyl invariants for spin three gauge field in general gravitational background in $d=4$
• $A_{\infty }$ Algebras from Slightly Broken Higher Spin Symmetries
• A Note on Vectorial AdS${}_5$/CFT${}_4$ Duality for Spin-$j$ Boundary Theory
• Twisted Flato-Fronsdal Theorem for Higher-Spin Algebras
• Hypergravity in five dimensions