Asymptotic Supergraviton States in Matrix Theory

TL;DR

This paper analyzes the asymptotic supergraviton states in Matrix theory, deriving an effective potential and discussing implications for the 11D supergraviton S matrix using a canonical quantum mechanical approach.

Contribution

It introduces a canonical framework to identify asymptotic supergraviton states and derives an effective potential expansion in inverse separation.

Findings

Identifies free supergraviton states in Matrix theory

Derives an effective potential for supergravitons

Discusses computation of the 11D supergraviton S matrix

Abstract

We study the Matrix theory from a purely canonical viewpoint. In particular, we identify free particle asymptotic states of the model corresponding to the 11D supergraviton multiplet along with the split of the matrix model Hamiltonian into a free and an interacting part. Elementary quantum mechanical perturbation theory then yields an effective potential for these particles as an expansion in their inverse separation. We discuss how our scheme can be used to compute the Matrix theory result for the 11D supergraviton S matrix and briefly comment on non-eikonal and longitudinal momentum exchange processes.