Energy functionals from Conformal Gravity

Journal of High Energy Physics

Regular Article - Theoretical Physics

Rodrigo Olea¹  Giorgos Anastasiou²  Ignacio J. Araya² 

[1] Departamento de Ciencias Físicas, Universidad Andres Bello, Sazié 2212, Piso 7, Santiago, Chile;Instituto de Ciencias Exactas y Naturales (ICEN), Universidad Arturo Prat, Avenida Arturo Prat Chacón 2120, 1110939, Iquique, Chile;Facultad de Ciencias, Universidad Arturo Prat, Avenida Arturo Prat Chacón 2120, 1110939, Iquique, Chile;

关键词: Classical Theories of Gravity;    Gauge-Gravity Correspondence;    Scale and Conformal Symmetries;   

DOI  :  10.1007/JHEP10(2022)123

 received in 2022-09-16, accepted in 2022-10-12,  发布年份 2022

来源: Springer

【 摘 要 】

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.

【 授权许可】

Unknown   
© The Author(s) 2022