PP-wave string interactions from n-point correlators of BMN operators

TL;DR

This paper demonstrates how BMN operators in N=4 SYM form a closed sector under OPE, and connects their n-point correlators in specific limits to pp-wave string interactions, also discussing instantons within this framework.

Contribution

It establishes a link between BMN operator correlators and string interactions in the pp-wave background, expanding understanding of the gauge/string duality.

Findings

BMN operators form a closed OPE sector in N=4 SYM

Short-distance limits of BMN correlators correspond to string interactions

Discussion of instantons in the pp-wave/SYM correspondence

Abstract

BMN operators are characterized by the fact that they have infinite R-charge and finite anomalous dimension in the BMN double scaling limit. Using this fact, we show that the BMN operators close under operator product expansion and form a sector in the N=4 supersymmetric Yang-Mills theory. We then identify short-distance limits of general BMN n-point correlators, and show how they correspond to the pp-wave string interactions. We also discuss instantons in the light of the pp-wave/SYM correspondence.