Topological regularization and self-duality in four-dimensional anti-de Sitter gravity

Olivera Mišković, Rodrigo Olea

Resultado de la investigación: Article

62 Citas (Scopus)

Resumen

It is shown that the addition of a topological invariant (Gauss-Bonnet term) to the anti-de Sitter gravity action in four dimensions recovers the standard regularization given by the holographic renormalization procedure. This crucial step makes possible the inclusion of an odd parity invariant (Pontryagin term) whose coupling is fixed by demanding an asymptotic (anti) self-dual condition on the Weyl tensor. This argument allows one to find the dual point of the theory where the holographic stress tensor is related to the boundary Cotton tensor as Tji=±(2/8πG)Cji, which has been observed in recent literature in solitonic solutions and hydrodynamic models. A general procedure to generate the counterterm series for anti-de Sitter gravity in any even dimension from the corresponding Euler term is also briefly discussed.

Idioma originalEnglish
Número de artículo124020
PublicaciónPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volumen79
N.º12
DOI
EstadoPublished - 15 jun 2009

Huella dactilar

tensors
gravitation
cotton
stress tensors
parity
hydrodynamics
inclusions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Citar esto

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AB - It is shown that the addition of a topological invariant (Gauss-Bonnet term) to the anti-de Sitter gravity action in four dimensions recovers the standard regularization given by the holographic renormalization procedure. This crucial step makes possible the inclusion of an odd parity invariant (Pontryagin term) whose coupling is fixed by demanding an asymptotic (anti) self-dual condition on the Weyl tensor. This argument allows one to find the dual point of the theory where the holographic stress tensor is related to the boundary Cotton tensor as Tji=±(2/8πG)Cji, which has been observed in recent literature in solitonic solutions and hydrodynamic models. A general procedure to generate the counterterm series for anti-de Sitter gravity in any even dimension from the corresponding Euler term is also briefly discussed.

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