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Constraints on Higher Derivative Operators in the Matrix Theory Effective Lagrangian

David A. Lowe
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Abstract

The consistency of Matrix theory with supergravity requires that in the large N_c limit terms of order v^4 in the SU(N_c) 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(N_c) with N_c>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.

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David A. Lowe. 1998-10-13. Constraints on Higher Derivative Operators in the Matrix Theory Effective Lagrangian. https://doi.org/10.1088/1126-6708%2F1998%2F11%2F009

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