On Lorentz invariance and supersymmetry of four particle scattering amplitudes in S(N) R**8 orbifold sigma model

Abstract

The SNR8 supersymmetric orbifold sigma model is expected to describe the Infrared limit of the matrix string theory. In the framework of the model the type IIA string interaction is governed by a vertex which was recently proposed by Dijkgraaf, Verlinde, and Verlinde. By using this interaction vertex, we derive all four particle scattering amplitudes directly from the orbifold model in the large N limit.