Superstring Interactions in a pp-wave Background

TL;DR

This paper develops a light-cone gauge superstring field theory in a pp-wave background with Ramond-Ramond flux, deriving interaction vertices and Neumann matrices, and discusses a perturbative expansion in the flux parameter.

Contribution

It constructs the superstring field theory in a pp-wave background, deriving key interaction components and Neumann matrices, advancing understanding of string interactions in such backgrounds.

Findings

Derived the leading interaction Hamiltonian up to an overall function of p^+

Explicitly calculated bosonic and fermionic Neumann matrices for the cubic vertex

Commented on a 1/μp^+ expansion for these results

Abstract

We construct light-cone gauge superstring field theory in a pp-wave background with Ramond-Ramond flux. The leading term in the interaction Hamiltonian is determined up to an overall function of $p^+$ by requiring closure of the pp-wave superalgebra. The bosonic and fermionic Neumann matrices for this cubic vertex are derived, as is the interaction point operator. We comment on the development of a $1/\mu p^+$ expansion for these results.