D=11 SUGRA as the Low Energy Effective Action of Matrix Theory: Three Form Scattering

TL;DR

This paper demonstrates that Matrix Theory accurately reproduces the tree-level scattering amplitudes of three-form fields in eleven-dimensional supergravity, confirming its validity as a low-energy effective description.

Contribution

It provides the first calculation of three-form scattering in Matrix Theory and confirms its agreement with D=11 supergravity results, including the Chern-Simons term.

Findings

Matrix Theory reproduces D=11 supergravity three-form scattering amplitudes.

Agreement with tree-level supergravity results including Chern-Simons term.

Framework allows computation of one-loop scattering amplitudes at vanishing p^- exchange.

Abstract

We employ the LSZ reduction formula for Matrix Theory introduced in our earlier work to compute the t-pole S-matrix for three form-three form scattering. The result agrees completely with tree level D=11 SUGRA. Taken together with previous results on graviton-graviton scattering this shows that Matrix Theory indeed reproduces the bosonic sector of the D=11 SUGRA action including the Chern-Simons term. Furthermore we provide a detailed account of our framework along with the technology to compute any Matrix Theory one-loop t-pole scattering amplitude at vanishing p^- exchange.