### 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 K_{ij} 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 original | English |
---|---|

Número de artículo | 073 |

Publicación | Journal of High Energy Physics |

Volumen | 2007 |

N.º | 4 |

DOI | |

Estado | Published - 1 abr 2007 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

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*Journal of High Energy Physics*, vol. 2007, n.º 4, 073. https://doi.org/10.1088/1126-6708/2007/04/073

**Regularization of odd-dimensional AdS gravity : Kounterterms.** / Olea, Rodrigo.

Resultado de la investigación: Article

TY - JOUR

T1 - Regularization of odd-dimensional AdS gravity

T2 - Kounterterms

AU - Olea, Rodrigo

PY - 2007/4/1

Y1 - 2007/4/1

N2 - 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.

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.

KW - AdS-CFT correspondence

KW - Black holes

KW - Classical theories of gravity

UR - http://www.scopus.com/inward/record.url?scp=34247891663&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2007/04/073

DO - 10.1088/1126-6708/2007/04/073

M3 - Article

VL - 2007

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 4

M1 - 073

ER -