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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Castro, A., Llabrés, E. & Rejon-Barrera, F. Geodesic diagrams, gravitational interactions & OPE structures. J. High Energ. Phys. 2017, 99 (2017). https://doi.org/10.1007/JHEP06(2017)099
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DOI: https://doi.org/10.1007/JHEP06(2017)099