### Resumen

A gauge invariant action principle, based on the idea of transgression forms, is proposed. The action extends the Chern-Simons form by the addition of a boundary term that makes the action gauge invariant (and not just quasi-invariant). Interpreting the spacetime manifold as cobordant to another one, the duplication of gauge fields in spacetime is avoided. The advantages of this approach are particularly noticeable for the gravitation theory described by a Chern-Simons lagrangian for the AdS group, in which case the action is regularized and finite for black hole geometries in diverse situations. Black hole thermodynamics is correctly reproduced using either a background field approach or a background-independent setting, even in cases with asymptotically nontrivial topologies. It is shown that the energy found from the thermodynamic analysis agrees with the surface integral obtained by direct application of Noether's theorem.

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

Número de páginas | 1 |

Publicación | Journal of High Energy Physics |

N.º | 2 |

DOI | |

Estado | Published - 1 feb 2006 |

### Huella dactilar

### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Citar esto

*Journal of High Energy Physics*, (2). https://doi.org/10.1088/1126-6708/2006/02/067

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*Journal of High Energy Physics*, n.º 2. https://doi.org/10.1088/1126-6708/2006/02/067

**Transgression forms and extensions of Chern-Simons gauge theories.** / Mora, Pablo; Olea, Rodrigo; Troncoso, Ricardo; Zanelli, Jorge.

Resultado de la investigación: Article

TY - JOUR

T1 - Transgression forms and extensions of Chern-Simons gauge theories

AU - Mora, Pablo

AU - Olea, Rodrigo

AU - Troncoso, Ricardo

AU - Zanelli, Jorge

PY - 2006/2/1

Y1 - 2006/2/1

N2 - A gauge invariant action principle, based on the idea of transgression forms, is proposed. The action extends the Chern-Simons form by the addition of a boundary term that makes the action gauge invariant (and not just quasi-invariant). Interpreting the spacetime manifold as cobordant to another one, the duplication of gauge fields in spacetime is avoided. The advantages of this approach are particularly noticeable for the gravitation theory described by a Chern-Simons lagrangian for the AdS group, in which case the action is regularized and finite for black hole geometries in diverse situations. Black hole thermodynamics is correctly reproduced using either a background field approach or a background-independent setting, even in cases with asymptotically nontrivial topologies. It is shown that the energy found from the thermodynamic analysis agrees with the surface integral obtained by direct application of Noether's theorem.

AB - A gauge invariant action principle, based on the idea of transgression forms, is proposed. The action extends the Chern-Simons form by the addition of a boundary term that makes the action gauge invariant (and not just quasi-invariant). Interpreting the spacetime manifold as cobordant to another one, the duplication of gauge fields in spacetime is avoided. The advantages of this approach are particularly noticeable for the gravitation theory described by a Chern-Simons lagrangian for the AdS group, in which case the action is regularized and finite for black hole geometries in diverse situations. Black hole thermodynamics is correctly reproduced using either a background field approach or a background-independent setting, even in cases with asymptotically nontrivial topologies. It is shown that the energy found from the thermodynamic analysis agrees with the surface integral obtained by direct application of Noether's theorem.

KW - Black Holes

KW - Chern-Simons Theories

KW - Classical Theories of Gravity

KW - Differential and Algebraic Geometry

UR - http://www.scopus.com/inward/record.url?scp=33644757649&partnerID=8YFLogxK

U2 - 10.1088/1126-6708/2006/02/067

DO - 10.1088/1126-6708/2006/02/067

M3 - Article

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 2

ER -