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

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.