Holographic 3-point function at one loop

TL;DR

This paper investigates the one-loop corrections to three-point functions in AdS/CFT, comparing gauge theory and string theory results, and finds discrepancies that suggest additional contributions may be needed.

Contribution

It provides the first explicit computation of one-loop corrections to three-point functions in the weak/strong coupling match in AdS/CFT, highlighting mismatches and potential areas for further research.

Findings

One-loop corrections do not match between gauge and string theory.

Discrepancies suggest possible missing contributions on the gauge theory side.

Results challenge the completeness of the current weak/strong coupling correspondence.

Abstract

We explore the recent weak/strong coupling match of three-point functions in the AdS/CFT correspondence for two semi-classical operators and one light chiral primary operator found by Escobedo et al. This match is between the tree-level three-point function with the two semi-classical operators described by coherent states while on the string side the three-point function is found in the Frolov-Tseytlin limit. We compute the one-loop correction to the three-point function on the gauge theory side and compare this to the corresponding correction on the string theory side. We find that the corrections do not match. Finally, we discuss the possibility of further contributions on the gauge theory side that can alter our results.