Four graviton scattering amplitude from $S^N\large{{\bf R}}^{8}$ supersymmetric orbifold sigma model

TL;DR

This paper derives the four graviton scattering amplitude in a supersymmetric orbifold sigma model, providing insights into string interactions within the Matrix string theory framework.

Contribution

It presents a derivation of the four graviton scattering amplitude from the $S^N\R^{8}$ orbifold sigma model using a proposed interaction vertex.

Findings

Derived the four graviton scattering amplitude in the orbifold model.

Connected the orbifold sigma model results with Matrix string theory.

Validated the interaction vertex for describing string interactions.

Abstract

In the IR limit the Matrix string theory is expected to be described by the $S^N\R^{8}$ supersymmetric orbifold sigma model. Recently Dijkgraaf, Verlinde and Verlinde proposed a vertex that may describe the type IIA string interaction. In this paper using this interaction vertex we derive the four graviton scattering amplitude from the orbifold model in the large $N$ limit.