Constraints on higher derivative operators in the matrix theory effective lagrangean

The consistency of Matrix theory with supergravity requires that in the large Nc limit terms of order v4 in the SU(Nc) Matrix effective potential 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 supersymmetry imposes on these terms for groups SU(Nc) with Nc > 2. Non-renormalization theorems are proven for certain tensor structures, including the structures that appear in the one-loop effective action. However it is expected other tensor structures can in general be present, which may suffer renormalization at three loops and beyond.