Abstract
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.
Original language | English |
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Article number | 123 |
Journal | Journal of High Energy Physics |
Volume | 2022 |
Issue number | 10 |
DOIs | |
Publication status | Published - Oct 2022 |
Keywords
- Classical Theories of Gravity
- Gauge-Gravity Correspondence
- Scale and Conformal Symmetries
ASJC Scopus subject areas
- Nuclear and High Energy Physics