  We use fake supergravity as a solution generating technique to obtain a
continuum of non-supersymmetric asymptotically $AdS_4\times S^7$ domain wall
solutions of eleven-dimensional supergravity with non-trivial scalars in the
$SL(8,\mathbb{R})/SO(8)$ 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.
