SL(2) sector: weak/strong coupling agreement of three-point correlators

TL;DR

This paper compares three-point correlators in N=4 SYM within the SL(2) sector at weak and strong coupling, finding perfect agreement and providing insights into their structure and dual string solutions.

Contribution

It demonstrates exact matching of structure constants at weak and strong coupling for SL(2) sector operators, highlighting the robustness of the AdS/CFT correspondence.

Findings

Perfect agreement of structure constants at weak and strong coupling.

Analysis of the space-time structure of correlators.

Insights into dual string solutions with large charges.

Abstract

We evaluate three-point correlation functions of single trace operators in N=4 SYM at both weak and strong coupling. We focus on the case where two of the operators belong in a SL(2) sub-sector, and are dual to string solutions in a broad class of solutions with large S and J charges, while the third operator is a BPS state. Perfect agreement between the structure constants at weak and strong coupling is found. Finally, comments on this matching, as well as on the space-time structure of the correlators, are given.