Holographic, N=1 Supersymmetric RG Flows on M2 Branes
arXiv:0901.2736 · doi:10.1088/1126-6708/2009/09/043
Abstract
We find a family of holographic N=1 supersymmetric RG flows on M2 branes. These flows are driven by two mass parameters from the maximally (N=8) supersymmetric theory and the infra-red theory is controlled by two fixed points, one with G_2 symmetry and the other with SU(3)xU(1) symmetry and N=2 supersymmetry. The generic flow, with unequal mass parameters, is N=1 supersymmetric but goes to the SU(3)xU(1) symmetric, N=2 supersymmetric fixed point, where the masses are equal. The only flow that goes to the G_2 symmetric point occurs when one of the mass parameters is set to zero. There is an N=1 supersymmetric flow from the G_2 symmetric point to the SU(3)xU(1) symmetric point and supergravity gives a prediction of 1/\sqrt{6} for the anomalous dimensions of the operators that drive this flow. We examine these flows from the field theory perspective but find that one is limited to qualitative results since N=1 supersymmetry in three dimensions is insufficient to protect the form and dimensions of the operators involved in the flow.
23 pages, Harvmac, 4 figures
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