### Resumen

A finite action principle for Chern-Simons AdS gravity is presented. The construction is carried out in detail first in five dimensions, where the bulk action is given by a particular combination of the Einstein-Hilbert action with negative cosmological constant and a Gauss-Bonnet term; and is then generalized for arbitrary odd dimensions. The boundary term needed to render the action finite is singled out demanding the action to attain an extremum for an appropriate set of boundary conditions. The boundary term is a local function of the fields at the boundary and is sufficient to render the action finite for asymptotically AdS solutions, without requiring background fields. It is shown that the Euclidean continuation of the action correctly describes black hole thermodynamics in the canonical ensemble. Additionally, background independent conserved charges associated with the asymptotic symmetries can be written as surface integrals by direct application of Noether's theorem.

Idioma original | English |
---|---|

Páginas (desde-hasta) | 849-867 |

Número de páginas | 19 |

Publicación | Journal of High Energy Physics |

Volumen | 8 |

N.º | 6 |

Estado | Published - 1 jun 2004 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Journal of High Energy Physics*,

*8*(6), 849-867.

}

*Journal of High Energy Physics*, vol. 8, n.º 6, pp. 849-867.

**Finite action principle for Chern-Simons AdS gravity.** / Mora, Pablo; Olea, Rodrigo; Troncoso, Ricardo; Zanelli, Jorge.

Resultado de la investigación: Article

TY - JOUR

T1 - Finite action principle for Chern-Simons AdS gravity

AU - Mora, Pablo

AU - Olea, Rodrigo

AU - Troncoso, Ricardo

AU - Zanelli, Jorge

PY - 2004/6/1

Y1 - 2004/6/1

N2 - A finite action principle for Chern-Simons AdS gravity is presented. The construction is carried out in detail first in five dimensions, where the bulk action is given by a particular combination of the Einstein-Hilbert action with negative cosmological constant and a Gauss-Bonnet term; and is then generalized for arbitrary odd dimensions. The boundary term needed to render the action finite is singled out demanding the action to attain an extremum for an appropriate set of boundary conditions. The boundary term is a local function of the fields at the boundary and is sufficient to render the action finite for asymptotically AdS solutions, without requiring background fields. It is shown that the Euclidean continuation of the action correctly describes black hole thermodynamics in the canonical ensemble. Additionally, background independent conserved charges associated with the asymptotic symmetries can be written as surface integrals by direct application of Noether's theorem.

AB - A finite action principle for Chern-Simons AdS gravity is presented. The construction is carried out in detail first in five dimensions, where the bulk action is given by a particular combination of the Einstein-Hilbert action with negative cosmological constant and a Gauss-Bonnet term; and is then generalized for arbitrary odd dimensions. The boundary term needed to render the action finite is singled out demanding the action to attain an extremum for an appropriate set of boundary conditions. The boundary term is a local function of the fields at the boundary and is sufficient to render the action finite for asymptotically AdS solutions, without requiring background fields. It is shown that the Euclidean continuation of the action correctly describes black hole thermodynamics in the canonical ensemble. Additionally, background independent conserved charges associated with the asymptotic symmetries can be written as surface integrals by direct application of Noether's theorem.

KW - Black Holes

KW - Chern-Simons Theories

KW - Classical Theories of Gravity

KW - Field Theories in Higher Dimensions

UR - http://www.scopus.com/inward/record.url?scp=23044507571&partnerID=8YFLogxK

M3 - Article

VL - 8

SP - 849

EP - 867

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 6

ER -