Energy functionals from Conformal Gravity
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Fecha
2022-10
Profesor/a Guía
Facultad/escuela
Idioma
en
Título de la revista
ISSN de la revista
Título del volumen
Editor
Springer Science and Business Media Deutschland GmbH
Nombre de Curso
Licencia CC
Attribution 4.0 International (CC BY 4.0)
Licencia CC
https://creativecommons.org/licenses/by/4.0/
Resumen
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).
Notas
Indexación: Scopus.
Palabras clave
Classical Theories of Gravity, Gauge-Gravity Correspondence, Scale and Conformal Symmetries
Citación
Journal of High Energy Physics, Volume 2022, Issue 10, October 2022, Article number 123
DOI
10.1007/JHEP10(2022)123