THE GAUGE DUAL OF GAUGED N=8 SUPERGRAVITY THEORY

The most general SU(3)-singlet space of gauged N = 8 supergravity in four-dimensions is studied recently. The SU(3)-invariant six scalar fields are realized by six real four-forms. A family of holographic N = 1 supersymmetric RG flows on M2-branes in three-dimensions is described. This family of flows is driven by three independent mass parameters from the N = 8 SO(8) theory and is controlled by two IR fixed points, N = 1 G(2)-invariant one and N = 2 SU(3)xU(1)-invariant one. The generic flow with arbitrary mass parameters is N = 1 supersymmetric and reaches to the N = 2 SU(3) x U(1) fixed point where the three masses become identical. A particular N = 1 supersymmetric SU(3)-preserving RG flow from the N = 1 G(2)-invariant fixed point to the N = 2 SU(3) x U(1)-invariant fixed point is also discussed.