Tree level supergravity and the Matrix model

It has recently been shown that the Matrix model and supergravity give the same predictions for three-graviton scattering. This contradicts an earlier claim in the literature. We explain the error in this earlier work, and go on to show that certain terms in the n-graviton scattering amplitude involving nu(2n) are given correctly by the Matrix model. The Matrix model also generates certain nu(6) terms in four-graviton scattering at three loops, which do not seem to have any counterparts in supergravity. The connection of these results with non-renormalization theorems is discussed. (C) 2000 Elsevier Science B.V. All rights reserved.