BMN operators with three scalar impurites and the vertex--correlator duality in pp-wave

TL;DR

This paper computes three-point functions of specific operators in N=4 SYM to test the pp-wave/SYM duality, confirming the vertex-correlator relation at the three scalar impurity level for supergravity and string modes.

Contribution

It provides the first detailed verification of the vertex-correlator duality for three scalar impurities in the pp-wave/SYM correspondence.

Findings

Confirmed the duality at supergravity level.

Validated the duality for string modes.

Supported the vertex-correlator conjecture in pp-wave background.

Abstract

We calculate 3-point correlation functions of Delta-BMN operators with 3 scalar impurites in N=4 supersymmetric gauge theory. We use these results to test the pp-wave/SYM duality correspondence of the vertex--correlator type. This correspondence relates the coefficients of 3-point correlators of Delta-BMN operators in gauge theory to the 3-string vertex in lightcone string field theory in the pp-wave background. We verify the vertex--correlator duality equation of hep-th/0301036 at the 3 scalar impurites level for supergravity and for string modes.