Superstring Interactions in a pp-wave Background II

TL;DR

This paper computes matrix elements of the interaction operator in light-cone superstring field theory on a pp-wave background, testing a conjecture relating string interactions to gauge theory correlators and making predictions for gauge theory.

Contribution

It extends previous work by explicitly calculating matrix elements for all parameters, supporting a conjecture linking string field theory to gauge theory three-point functions.

Findings

Matrix elements computed for all mu p^+ alpha' values.

Validation of the conjecture relating string interactions to gauge theory.

Predictions made for gauge theory correlators.

Abstract

In type IIB light-cone superstring field theory, the cubic interaction has two pieces: a delta-functional overlap and an operator inserted at the interaction point. In this paper we extend our earlier work hep-th/0204146 by computing the matrix elements of this operator in the oscillator basis of pp-wave string theory for all mu p^+ alpha'. By evaluating these matrix elements for large mu p^+ alpha', we check a recent conjecture relating matrix elements of the light-cone string field theory Hamiltonian (with prefactor) to certain three-point functions of BMN operators in the gauge theory. We also make several explicit predictions for gauge theory.