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

In this Letter 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 N=4 super-Yang–Mills. The three string interaction vertex involving the Neumann matrices was derived in a recent paper . We explicitly calculate the bosonic Neumann matrices in the limit of large μp+α′. Using the Neumann matrices we are able to compute the cubic interactions of three string modes in a pp-wave background.