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

TL;DR

This paper computes four-point correlation functions of lowest weight chiral primary operators in N=4 SYM_4 using supergravity approximation, confirming the equivalence of scalar actions in supergravity theories and deriving explicit results at strong coupling.

Contribution

It demonstrates the matching of scalar actions in supergravity and uses this to calculate four-point functions in N=4 SYM_4 at large N and strong coupling.

Findings

Quartic scalar action matches between supergravity theories.

Explicit four-point functions computed at strong coupling.

Supports AdS/CFT correspondence in this context.

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 $\tr(\phi^{(i}\phi^{j)})$ in N=4 SYM_4 at large $N$ and at strong `t Hooft coupling.