  A holographic conformal field theory is dual to semi-classical general
relativity in Anti-de Sitter space coupled to matter fields. If the CFT
factorizes in the large-$N$ limit, then all couplings in its dual are
suppressed by the Planck scale, making the matter fields weakly interacting. We
propose a mechanism to produce CFTs whose dual matter fields couple weakly to
gravity, but interact strongly with each other. We achieve this by turning on
exactly marginal multi-trace deformations, and quantify the effect using
conformal perturbation theory.
