Comments on Superstring Interactions in a Plane-Wave Background

TL;DR

This paper derives a generalized factorization theorem for the Neumann coefficients of superstring interactions in a plane-wave background, facilitating comparison with gauge theory and analyzing asymptotic behavior.

Contribution

It introduces a new factorization theorem for Neumann coefficients in a plane-wave background, extending flat-space results to a curved background.

Findings

Derived a generalized factorization formula for Neumann coefficients.

Analyzed the large mu asymptotic behavior of the string vertex.

Facilitated comparison with dual gauge theory results.

Abstract

The three string vertex for Type IIB superstrings in a maximally supersymmetric plane-wave background is investigated. Specifically, we derive a factorization theorem for the Neumann coefficients that generalizes a flat-space result that was obtained some 20 years ago. The resulting formula is used to explore the leading large mu asymptotic behavior, which is relevant for comparison with dual gauge theory results.