On direct and crossed channel asymptotics of four-point functions in AdS/CFT correspondence

TL;DR

This paper investigates the behavior of four-point functions in AdS/CFT, focusing on the leading logarithmic singularities in different channels within type IIB supergravity, revealing persistent logarithms in the correlator.

Contribution

It provides a detailed analysis of the asymptotic behavior of four-point functions in AdS/CFT, highlighting the non-cancellation of logarithmic singularities in both channels.

Findings

Logarithmic singularities do not cancel in the full correlator.

Leading logarithmic singularities are analyzed in both direct and crossed channels.

Persistent logarithms impact the understanding of correlator behavior in AdS/CFT.

Abstract

We analyse the leading logarithmic singularities in direct and crossed channel limit of the four-point functions in dilaton-axion sector of type IIB supergravity on $AdS_{5}$ in AdS/CFT correspondence. Logarithms do not cancel in the full correlator in both channels.