Gauge Fields and Singletons of $Ad{S}_{2p+1}$

Abstract

We show that $p$-forms on $Ad{S}_{2p+1}$ describe both singletons and massless particles. On the $2p$-dimensional boundary the singleton $p$-form Lagrangian reduces to the conformally invariant functional $\int F^2$. 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 AdS${}_5$ and AdS${}_7$ supergravity respectively.

tex file, 13 pages