Tree-level four-point function for a scalar field conformally coupled to Einstein's gravity on Euclidean AdS4

TL;DR

This paper calculates the four-point correlation function of a scalar field in Euclidean AdS4 using AdS/CFT, confirming consistency with conformal symmetry and Einstein gravity assumptions.

Contribution

It provides the first explicit tree-level four-point function for a conformally coupled scalar in Euclidean AdS4 with Einstein-Hilbert gravity.

Findings

The four-point function satisfies conformal Ward identities.

The computation is performed in momentum space.

Results are consistent with conformal symmetry constraints.

Abstract

Using the AdS/CFT correspondence, we compute the tree-level four-point boundary scalar correlation function for a scalar field conformally coupled to the graviton field on Euclidean AdS4. We assume that the dynamics of the graviton field is governed by the Einstein-Hilbert action. We carry out the computation in momentum space and check that the result so obtained is consistent with the conformal Ward identities.