Mellin amplitudes for $Ad{S}_5\times S^5$

Abstract

We revisit the calculation of holographic correlation functions in IIB supergravity on $Ad{S}_5\times S^5$. Results for four-point functions simplify drastically when expressed in Mellin space. We conjecture a compact formula for the four-point functions of one-half BPS single-trace operators of arbitrary weight. Our methods rely on general consistency conditions and eschew detailed knowledge of the supergravity effective action.

5 pages; v2: improved discussion, minor changes

References in corpus (6)

• Writing CFT correlation functions as AdS scattering amplitudes
• A non-renormalization theorem for chiral primary 3-point functions
• BCFW for Witten Diagrams
• Conjectures for Large N Superconformal N=4 Chiral Primary Four Point Functions
• Generalized bootstrap equations for N=4 SCFT
• Four-point correlators with higher weight superconformal primaries in the AdS/CFT Correspondence

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