Anastasiou, GiorgosAraya, Ignacio J.Olea, Rodrigo2023-07-112023-07-112022-10Journal of High Energy Physics, Volume 2022, Issue 10, October 2022, Article number 1231029-8479https://repositorio.unab.cl/xmlui/handle/ria/51550Indexación: Scopus.We provide a new derivation of the Hawking mass and Willmore energy functionals for asymptotically AdS spacetimes, by embedding Einstein-AdS gravity in Conformal Gravity. By construction, the evaluation of the four-dimensional Conformal Gravity action in a manifold with a conical defect produces a codimension-2 conformal invariant functional LΣ. The energy functionals are then particular cases of LΣ for Einstein-AdS and pure AdS ambient spaces, respectively. The bulk action is finite for AdS asymptotics and both Hawking mass and Willmore energy are finite as well. The result suggests a generic relation between conformal invariance and renormalization, where the codimension-2 properties are inherited from the bulk gravity action. © 2022, The Author(s).enClassical Theories of GravityGauge-Gravity CorrespondenceScale and Conformal SymmetriesArtículoAttribution 4.0 International (CC BY 4.0)10.1007/JHEP10(2022)123