Conformal Field Theory Correlators from Classical Scalar Field Theory on $AdS_{d+1}$

TL;DR

This paper computes 3- and 4-point correlators of conformal field theories using classical scalar field theory on Anti-de Sitter space, leveraging the AdS/CFT correspondence at tree level.

Contribution

It provides a method to derive CFT correlators directly from classical scalar field theory on AdS space at tree level, offering a new computational approach.

Findings

Calculated explicit 3- and 4-point functions for CFTs from AdS scalar fields

Demonstrated the use of classical action evaluation in correlator computation

Established a link between classical AdS theories and boundary CFT correlators

Abstract

We use the correspondence between scalar field theory on $AdS_{d+1}$ and a conformal field theory on $R^d$ to calculate the 3- and 4-point functions of the latter. The classical scalar field theory action is evaluated at tree level.