4.4 Article

Holographic, N=1 supersymmetric RG flows on M2 branes

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JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 9, 页码 -

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SPRINGER
DOI: 10.1088/1126-6708/2009/09/043

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Gauge-gravity correspondence; AdS-CFT Correspondence

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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) x U(t) symmetry and N = 2 supersymmetry. The generic flow, with unequal mass parameters, is N = 1 supersymmetric but goes to the SU(3) x U(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) x U(1) symmetric point and supergravity gives a prediction of 1 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.

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