Supersymmetry of Green-Schwarz Superstring and Matrix String Theory

TL;DR

This paper explores the supersymmetry properties of the Green-Schwarz superstring in a gravitational wave background, demonstrating consistency with Matrix string theory and analyzing supersymmetry transformations and corrections.

Contribution

It provides a detailed analysis of the superstring dynamics in a gravitational wave background and connects supersymmetry transformations with the low energy effective action of Matrix string theory.

Findings

Superstring dynamics match Matrix string theory results.

Supersymmetry transformations include background-induced corrections.

Identifies supersymmetry structure with low energy effective action.

Abstract

We study the dynamics of Green-Schwarz superstring on the gravitational wave background corresponding to the Matrix string theory and the supersymmetry transformation rules of the superstring. The dynamics is obtained in the light-cone formulation and is shown to agree with that derived from the Matrix string theory. The supersymmetry structure has the corrections due to the effect of the background and is identified with that of the low energy one-loop effective action of Matrix string theory in two superstring background in the weak string coupling limit.