Constraints on Higher Derivative Operators in the Matrix Theory Effective Lagrangian
نویسنده
چکیده
The consistency of Matrix theory with supergravity requires that in the large Nc limit terms of order v 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. Nonrenormalization 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.
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