Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 6, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP06(2017)099
Keywords
AdS-CFT Correspondence; Conformal Field Theory
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Funding
- Dutch Ministry of Education, Culture and Science (OCW)
- Nederlandse Organisatie voor Wetenschappelijk Onderzoek (NWO) via a Vidi grant
- Mexican Consejo Nacional de Ciencia y Tecnologia
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We give a systematic procedure to evaluate conformal partial waves involving symmetric tensors for an arbitrary CFTd 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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