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

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.

24 pages, LaTex, no figures, Ref. added, typos corrected

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