Predictions for PP-wave string amplitudes from perturbative SYM

TL;DR

This paper investigates the anomalous dimensions of two-impurity multi-trace operators in the BMN correspondence, revealing they are determined by single-trace dimensions, with implications for string interactions on the PP-wave background.

Contribution

It demonstrates that multi-trace operator anomalous dimensions are fully determined by single-trace dimensions in the BMN limit, and provides gauge theory predictions for string field theory matrix elements.

Findings

Anomalous dimensions of multi-trace operators are determined by single-trace dimensions.

Connected diagrams are suppressed in the BMN limit.

Gauge theory predictions for string interaction matrix elements are made.

Abstract

The role of general two-impurity multi-trace operators in the BMN correspondence is explored. Surprisingly, the anomalous dimensions of all two-impurity multi-trace BMN operators to order g_2^2\lambda' are completely determined in terms of single-trace anomalous dimensions. This is due to suppression of connected field theory diagrams in the BMN limit and this fact has important implications for some string theory processes on the PP-wave background. We also make gauge theory predictions for the matrix elements of the light-cone string field theory Hamiltonian in the two string-two string and one string-three string sectors.