More comments on superstring interactions in the pp-wave background

TL;DR

This paper refines the understanding of superstring interactions in the pp-wave background by providing complete fermionic Neumann matrices and analyzing their relation to bosonic matrices, ensuring consistency with known flat space results.

Contribution

It presents corrected and complete fermionic Neumann matrices and explores their relationship with bosonic matrices, extending flat space factorization theorems to the pp-wave background.

Findings

Corrected fermionic Neumann matrices for superstring interactions.

Established consistency conditions between fermionic and bosonic matrices.

Clarified the relation between continuum and oscillator basis expressions.

Abstract

We reconsider light-cone superstring field theory on the maximally supersymmetric pp-wave background. We find that the results for the fermionic Neumann matrices given so far in the literature are incomplete and verify our expressions by relating them to the bosonic Neumann matrices and proving several non-trivial consistency conditions among them, as for example the generalization of a flat space factorization theorem for the bosonic Neumann matrices. We also study the bosonic and fermionic constituents of the prefactor and point out a subtlety in the relation between continuum and oscillator basis expressions.