Correspondence between the 3-point BMN correlators and the 3-string vertex on the pp-wave

TL;DR

This paper proposes a duality between 3-point correlators of BMN operators in gauge theory and 3-string vertices in lightcone string field theory on the pp-wave background, supported by matching existing and new results.

Contribution

It introduces a vertex-correlator duality relation linking gauge theory correlators to string field theory vertices, extending the PP-wave/SYM correspondence.

Findings

Successfully reproduces known 3-point function results from string theory

Provides new evidence supporting the vertex-correlator duality

Validates the duality with both existing and newly obtained data

Abstract

The PP-wave/SYM proposal in its original form emphasizes a duality relation between the masses of the string states and the anomalous dimensions of the corresponding BMN operators in gauge theory, the mass--dimension type duality. In this paper, we give evidence in favour of another duality relation of the vertex--correlator type, which relates the coefficients of 3-point correlators of BMN operators in gauge theory to 3-string vertices in lightcone string field theory in the pp-wave background. We verify that all the available field theory results in the literature, as well as the newly obtained ones, for the 3-point functions are successfully reproduced from our proposal.