Three point functions of N=4 Super Yang Mills from light cone string field theory in pp-wave

TL;DR

This paper computes three-string interactions in a pp-wave background using light cone string field theory, matching the results with three-point functions of BMN operators in N=4 Super Yang Mills, revealing precise agreement.

Contribution

It provides explicit calculations of bosonic Neumann matrices and cubic string interactions in a pp-wave background, connecting string theory with gauge theory correlators.

Findings

Exact agreement with free planar three-point functions of BMN operators

Explicit calculation of bosonic Neumann matrices in large parameter limit

Derivation of three-string interaction vertex involving Neumann matrices

Abstract

In this paper we calculate three-string interaction from light cone string field theory in pp-wave. We find exact agreements with the free planar three point functions of non-chiral BMN operators of ${\cal N} = 4$ super Yang Mills. The three string interaction vertex involving the Neumann matrices was derived in a recent paper hep-th/0204146. We explicitly calculate the bosonic Neumann matrices in the limit of large $\mu p^{+} \alpha^{'}$ . Using the Neumann matrices we are able to compute the cubic interactions of three string modes in a pp-wave background.