On Higher Spin Symmetries in AdS5
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 AdS5 background is discussed. Generalization to the more general case of symmetries, including spins 2,3,… s, is shown.
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