Energy functionals from Conformal Gravity

Giorgos Anastasiou; Ignacio J. Araya; Rodrigo Olea

doi:10.1007/JHEP10(2022)123

Energy functionals from Conformal Gravity

Giorgos Anastasiou, Ignacio J. Araya, Rodrigo Olea

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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 L_Σ. The energy functionals are then particular cases of L_Σ 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
Article number	123
Journal	Journal of High Energy Physics
Volume	2022
Issue number	10
DOIs	https://doi.org/10.1007/JHEP10(2022)123
State	Published - Oct 2022
Externally published	Yes

Keywords

Classical Theories of Gravity
Gauge-Gravity Correspondence
Scale and Conformal Symmetries

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10.1007/JHEP10(2022)123

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title = "Energy functionals from Conformal Gravity",

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.",

keywords = "Classical Theories of Gravity, Gauge-Gravity Correspondence, Scale and Conformal Symmetries",

author = "Giorgos Anastasiou and Araya, {Ignacio J.} and Rodrigo Olea",

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T1 - Energy functionals from Conformal Gravity

AU - Anastasiou, Giorgos

AU - Araya, Ignacio J.

AU - Olea, Rodrigo

PY - 2022/10

Y1 - 2022/10

N2 - 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.

AB - 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.

KW - Classical Theories of Gravity

KW - Gauge-Gravity Correspondence

KW - Scale and Conformal Symmetries

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DO - 10.1007/JHEP10(2022)123

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VL - 2022

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 10

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ER -

Energy functionals from Conformal Gravity

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Keywords

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