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Counterterms and dual holographic anomalies in CS gravity

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Published 20 October 2005 Published under licence by IOP Publishing Ltd
, , Citation Máximo Bañados et al JHEP10(2005)067 DOI 10.1088/1126-6708/2005/10/067

1126-6708/2005/10/067

Abstract

The holographic Weyl anomaly associated to Chern-Simons gravity in 2n+1 dimensions is proportional to the Euler term in 2n dimensions, with no contributions from the Weyl tensor. We compute the holographic energy-momentum tensor associated to Chern-Simons gravity directly from the action, in an arbitrary odd-dimensional spacetime. We show, in particular, that the counterterms rendering the action finite contain only terms of the Lovelock type.

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10.1088/1126-6708/2005/10/067