Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1998-10-12
JHEP 9811:009,1998
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, harvmac, (Some equations corrected. Conclusions unchanged.)
Scientific paper
10.1088/1126-6708/1998/11/009
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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