Three-graviton scattering in Matrix theory revisited

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, LaTeX; v2: reference added, v3: text unchanged, Note added clarifying connection with other recent results

Scientific paper

10.1016/S0370-2693(98)00987-3

We consider a subset of the terms in the effective potential describing three-graviton interactions in Matrix theory and in classical eleven-dimensional supergravity. In agreement with the results of Dine and Rajaraman, we find that these terms vanish in Matrix theory. We show that the absence of these terms is compatible with the classical supergravity theory when the theory is compactified in a lightlike direction, resolving an apparent discrepancy between the two theories. A brief discussion is given of how this calculation might be generalized to compare the Matrix theory and supergravity descriptions of an arbitrary 3-body system.

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