  We study spontaneous breaking of scale invariance in the large N limit of
three dimensional $U(N)_\kappa$ Chern-Simons theories coupled to a scalar field
in the fundamental representation. When a $\lambda_6(\phi^\dagger\cdot\phi)^3$
self interaction term is added to the action we find a massive phase at a
certain critical value for a combination of the $\lambda_6$ and 't Hooft's
$\lambda=N/\kappa$ couplings. This model attracted recent attention since at
finite $\kappa$ it contains a singlet sector which is conjectured to be dual to
Vasiliev's higher spin gravity on $AdS_4$. Our paper concentrates on the
massive phase of the 3d boundary theory. We discuss the advantage of
introducing masses in the boundary theory through spontaneous breaking of scale
invariance.

High Energy Physics - Theory