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.
Categories: hep-th