Aspects of the conformal operator product expansion in AdS/CFT correspondence

Abstract

We present a detailed analysis of a scalar conformal four-point function obtained from AdS/CFT correspondence. We study the scalar exchange graphs in AdS and discuss their analytic properties. Using methods of conformal partial wave analysis, we present a general procedure to study conformal four-point functions in terms of exchanges of scalar and tensor fields. The logarithmic terms in the four-point functions are connected to the anomalous dimensions of the exchanged fields. Comparison of the results from AdS graphs with the conformal partial wave analysis, suggests a possible general form for the operator product expansion of scalar fields in the boundary CFT.

arXiv comment31 pages, LaTeX, accepted for publication in ATMP

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Cited by in corpus (12)

• Effective Conformal Theory and the Flat-Space Limit of AdS
• Four-point Functions of Lowest Weight CPOs in N=4 SYM_4 in Supergravity Approximation
• Eikonalization of Conformal Blocks
• On Non-renormalization and OPE in Superconformal Field Theories
• On the OPE of 1/2 BPS Short Operators in N=4 SCFT${}_4$
• Near-extremal correlators and vanishing supergravity couplings in AdS/CFT
• Non-protected operators in N=4 SYM and multiparticle states of AdS_5 SUGRA
• Cubic couplings in D=6 N=4b supergravity on AdS_3\times S^3
• On the AdS Higher Spin / O(N) Vector Model Correspondence: degeneracy of the holographic image
• A note on the analyticity of AdS scalar exchange graphs in the crossed channel
• Particle versus Field Structure in Conformal Quantum Field Theories
• How to Succeed at Witten Diagram Recursions without Really Trying