Matrix String Theory on pp-waves

TL;DR

This paper extends Matrix String Theory to various pp-wave backgrounds, demonstrating non-perturbative string interactions and how eigenvalue tunneling reproduces perturbative results in supersymmetric cases.

Contribution

It formulates matrix string models on different pp-wave backgrounds with both constant and variable RR flux, revealing non-perturbative interactions and the role of eigenvalue tunneling.

Findings

Non-perturbative string interactions are represented in matrix models.

Eigenvalue tunneling reproduces perturbative string interactions.

Matrix models are formulated for exact string geometries on pp-wave backgrounds.

Abstract

After a brief review on Matrix String Theory on flat backgrounds, we formulate matrix string models on different pp-wave backgrounds. This will be done both in the case of constant and variable RR background flux for certain exact string geometries. We exhibit the non--perturbative representation of string interaction and show how the eigenvalue tunneling drives the WKB expansion to give the usual perturbative string interaction also in supersymmetric pp-wave background cases.