Four-point Functions of Lowest Weight CPOs in N=4 SYM_4 in Supergravity Approximation

Abstract

We show that the recently found quartic action for the scalars from the massless graviton multiplet of type IIB supergravity compactified on AdS_5\times S^5 background coincides with the relevant part of the action of the gauged N=8 5d supergravity on AdS_5. We then use this action to compute the 4-point function of the lowest weight chiral primary operators $\tr(ϕ^{(i}ϕ^{j)})$ in N=4 SYM_4 at large $N$ and at strong `t Hooft coupling.

Latex, 21p, misprints are corrected

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• The Operator Product Expansion of N=4 SYM and the 4-point Functions of Supergravity
• Scalar Quartic Couplings in Type IIB Supergravity on $Ad{S}_5\times S^5$
• A note on the analyticity of AdS scalar exchange graphs in the crossed channel
• Aspects of the conformal operator product expansion in AdS/CFT correspondence

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