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A holographic conformal field theory is dual to semi-classical generalrelativity in Anti-de Sitter space coupled to matter fields. If the CFTfactorizes in the large-$N$ limit, then all couplings in its dual aresuppressed by the Planck scale, making the matter fields weakly interacting. Wepropose a mechanism to produce CFTs whose dual matter fields couple weakly togravity, but interact strongly with each other. We achieve this by turning onexactly marginal multi-trace deformations, and quantify the effect usingconformal perturbation theory.

Conformal field theories dual to quantum gravity with strongly coupled matter