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arXiv · 1702.06128

Geodesic Diagrams, Gravitational Interactions & OPE Structures

Alejandra Castro·Eva Llabrés·Fernando Rejon-Barrera
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Abstract

We give a systematic procedure to evaluate conformal partial waves involving symmetric tensors for an arbitrary CFT$_d$ using geodesic Witten diagrams in AdS$_{d+1}$. Using this procedure we discuss how to draw a line between the tensor structures in the CFT and cubic interactions in AdS. We contrast this map to known results using three-point Witten diagrams: the maps obtained via volume versus geodesic integrals differ. Despite these differences, we show how to decompose four-point exchange Witten diagrams in terms of geodesic diagrams, and we discuss the product expansion of local bulk fields in AdS.

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Alejandra Castro, Eva Llabrés, Fernando Rejon-Barrera. 2017-03-03. Geodesic Diagrams, Gravitational Interactions & OPE Structures. https://doi.org/10.1007/jhep06(2017)099

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