Conformal Renormalization of AdS gravity

We present evidence that the renormalization of Einstein-AdS gravity can be derived from conformal structures in the bulk. In point of fact, by applying a holographic mechanism which reduces Conformal Gravity to its Einstein sector in 4 and 6 dimensions, the Einstein-AdS action is naturally endowed with the correct counterterms. We explore the consequences of this result in the derivation of codimension-2 functionals (e.g., Willmore energy), of interest in the context of Holographic Entanglement Entropy.

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