Gauge Fields and Singletons of AdS2p+1

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Abstract

We show that p-forms on AdS2p+1 describe both singletons and massless particles. On the 2p-dimensional boundary the singleton p-form Lagrangian reduces to the conformally invariant functional ∫ F2. All the representations, singletons as well as massless, are zero center modules and involve a vacuum mode. Two- and three-form singleton fields are required by supersymmetry in AdS5 and AdS7 supergravity, respectively.

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