Non-supersymmetric membrane flows from fake supergravity and multi-trace deformations

We use fake supergravity as a solution generating technique to obtain a continuum of non-supersymmetric asymptotically AdS(4) x S-7 domain wall solutions of eleven-dimensional supergravity with non-trivial scalars in the SL(8, R)/SO(8) coset. These solutions are continuously connected to the supersymmetric domain walls describing a uniform sector of the Coulomb branch of the M2-brane theory. We also provide a general argument that under certain conditions identifies the fake superpotential with the exact large-N quantum effective potential of the dual theory, describing a marginal multi-trace deformation. This identification strongly motivates further study of fake supergravity as a solution generating method and it allows us to interpret our non-supersymmetric solutions as a family of marginal triple-trace deformations of the Coulomb branch that completely break supersymmetry and to calculate the exact large-N anomalous dimensions of the operators involved. The holographic one- and two-point functions for these solutions are also computed.