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arXiv · hep-th/9807090

Bulk Gauge Fields in AdS Supergravity and Supersingletons

S. Ferrara·A. Zaffaroni
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Abstract

We describe conformal operators living at the boundary of $AdS_{d+1}$ 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 $AdS_{d+1}$, respectively. For maximal supersymmetric theories in $AdS_{d+1}$ 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.

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S. Ferrara, A. Zaffaroni. 1998-07-13. Bulk Gauge Fields in AdS Supergravity and Supersingletons. https://arxiv.org/abs/hep-th/9807090

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