Constraints on higher derivative operators in the Matrix theory effective Lagrangian

The consistency of Matrix theory with supergravity requires that in the lar ge N-c limit terms of order upsilon(4) in the SU(N-c) Matrix effective pote ntial are not renormalized beyond one loop in perturbation theory. For SU(2 ) gauge group, the required non-renormalization theorem was proven recently by Paban, Sethi and Stern. In this paper we consider the constraints super symmetry imposes on these terms for groups SU(N-c) with N-c > 2. Non-renorm alization theorems are proven for certain tensor structures, including the structures that appear in the one-loop effective action. However it is expe cted other tensor structures can in general be present, which may suffer re normalization at three loops and beyond.