String interactions in a pp wave from N=4 super Yang-Mills theory -: art. no. 105002

We consider nonplanar contributions to the correlation functions of Berenstein-Maldacena-Nastase (BMN) operators in free N = 4 super Yang-Mills theory. We recalculate these nonplanar contributions from a different kind of diagram and find some exact agreement. The vertices of these diagrams are represented by free planar three-point functions; thus, our calculations provide some interesting identities for correlation functions of BMN operators in N = 4 super Yang-Mills theory. These diagrams look very much like loop diagrams in a second quantized string field theory; thus these identities could possibly be interpreted as natural consequences of the pp-wave/conformal field theory correspondence. For convenience we will call these diagrams "string theory diagram," although there are reasonable doubts as to whether these calculations are truly string theory calculations since it is not known how to compute general loop amplitudes in a second quantized string theory.