Regularization of odd-dimensional AdS gravity

Kounterterms

Resultado de la investigación: Article

56 Citas (Scopus)

Resumen

As an alternative to the standard Dirichlet counterterms prescription, I introduce the concept of Kounterterms as the boundary terms with explicit dependence on the extrinsic curvature Kij that regularize the AdS gravity action. A suitable choice of the boundary conditions - compatible with any asymptotically AdS (AAdS) spacetime - ensures a finite action principle for all odd dimensions. Background-independent conserved quantities are obtained as Noether charges associated to asymptotic symmetries and their general expression appears naturally split in two parts. The first one gives the correct mass and angular momentum for AAdS black holes and vanishes identically for globally AdS spacetimes. Thus, the second part is a covariant formula for the vacuum energy in AAdS spacetimes and reproduces the results obtained by the Dirichlet counterterms method in a number of cases. It is also shown that this Kounterterms series regularizes the Euclidean action and recovers the correct black hole thermodynamics in odd dimensions.

Idioma originalEnglish
Número de artículo073
PublicaciónJournal of High Energy Physics
Volumen2007
N.º4
DOI
EstadoPublished - 1 abr 2007

Huella dactilar

gravitation
angular momentum
curvature
boundary conditions
momentum
thermodynamics
vacuum
symmetry
energy

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Citar esto

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title = "Regularization of odd-dimensional AdS gravity: Kounterterms",
abstract = "As an alternative to the standard Dirichlet counterterms prescription, I introduce the concept of Kounterterms as the boundary terms with explicit dependence on the extrinsic curvature Kij that regularize the AdS gravity action. A suitable choice of the boundary conditions - compatible with any asymptotically AdS (AAdS) spacetime - ensures a finite action principle for all odd dimensions. Background-independent conserved quantities are obtained as Noether charges associated to asymptotic symmetries and their general expression appears naturally split in two parts. The first one gives the correct mass and angular momentum for AAdS black holes and vanishes identically for globally AdS spacetimes. Thus, the second part is a covariant formula for the vacuum energy in AAdS spacetimes and reproduces the results obtained by the Dirichlet counterterms method in a number of cases. It is also shown that this Kounterterms series regularizes the Euclidean action and recovers the correct black hole thermodynamics in odd dimensions.",
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Regularization of odd-dimensional AdS gravity : Kounterterms. / Olea, Rodrigo.

En: Journal of High Energy Physics, Vol. 2007, N.º 4, 073, 01.04.2007.

Resultado de la investigación: Article

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T1 - Regularization of odd-dimensional AdS gravity

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AU - Olea, Rodrigo

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AB - As an alternative to the standard Dirichlet counterterms prescription, I introduce the concept of Kounterterms as the boundary terms with explicit dependence on the extrinsic curvature Kij that regularize the AdS gravity action. A suitable choice of the boundary conditions - compatible with any asymptotically AdS (AAdS) spacetime - ensures a finite action principle for all odd dimensions. Background-independent conserved quantities are obtained as Noether charges associated to asymptotic symmetries and their general expression appears naturally split in two parts. The first one gives the correct mass and angular momentum for AAdS black holes and vanishes identically for globally AdS spacetimes. Thus, the second part is a covariant formula for the vacuum energy in AAdS spacetimes and reproduces the results obtained by the Dirichlet counterterms method in a number of cases. It is also shown that this Kounterterms series regularizes the Euclidean action and recovers the correct black hole thermodynamics in odd dimensions.

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