Spinning AdS Propagators

Abstract

We develop the embedding formalism to describe symmetric traceless tensors in Anti-de Sitter space. We use this formalism to construct the bulk-to-bulk propagator of massive spin J fields and check that it has the expected short distance and massless limits. We also and a split representation for the bulk-to-bulk propagator, by writing it as an integral over the boundary of the product of two bulk-to-boundary propagators. We exemplify the use of this representation with the computation of the conformal partial wave decomposition of Witten diagrams. In particular, we determine the Mellin amplitude associated to AdS graviton exchange between minimally coupled scalars of general dimension, including the regular part of the amplitude.

48 pages, 6 figures

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• TASI lectures on AdS/CFT
• Twistor methods for AdS${}_5$
• On the Exchange Interactions in Holographic p-adic CFT
• Geodesic Witten diagrams with anti-symmetric exchange
• Exploring Perturbative Conformal Field Theory in Mellin space
• Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange
• Factorization of Mellin amplitudes
• Skewness Dependence of GPD / DVCS, Conformal OPE and AdS/CFT Correspondence II: a holographic model of GPD