Bulk Gauge Fields in AdS Supergravity and Supersingletons

Abstract

We describe conformal operators living at the boundary of $Ad{S}_{d+1}$ in a general setting. Primary conformal operators at the threshold of the unitarity bounds of UIR's of O(d,2) correspond to singletons and massless fields in $Ad{S}_{d+1}$, respectively. For maximal supersymmetric theories in $Ad{S}_{d+1}$ we describe ``chiral'' primary short supermultiplets and non-chiral primary long supermultiplets. Examples are exhibited which correspond to KK and string states. We give the general contribution of a primary conformal operator to the OPE and Green's functions of primary fields, which may be relevant to compute string corrections to the four-point supergraviton amplitude in Anti-de-Sitter space. The material in this paper was presented by one of the authors (S.F) at String 98, Santa Barbara.

16 pages, harvmac, String 98 on-line proceedings

References in corpus (2)

• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• Three Brane Action and The Correspondence Between N=4 Yang Mills Theory and Anti De Sitter Space

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