Comments on 4-point functions in the CFT/AdS correspondence

TL;DR

This paper analyzes four-point functions in the AdS/CFT framework, exploring their singularities and implications for the operator product expansion in the dual conformal field theory.

Contribution

It establishes relations between supergravity graphs and computes leading singularities, advancing understanding of four-point functions in AdS/CFT.

Findings

Identified relations between supergravity graphs.

Computed leading singularities of four-point functions.

Discussed the role of logarithmic singularities in the OPE.

Abstract

We study the four--point function of chiral primaries corresponding to the dilaton--axion sector in supergravity in the $AdS_5$/CFT$_4$ correspondence. We find relations between some of the supergravity graphs and compute their leading singularities. We discuss the issue of logarithmic singularities and their significance for the OPE structure of the CFT.