Counterterms and dual holographic anomalies in CS gravity -: art. no. 067
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2005
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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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Chen-Simons theories, AdS-CFT and dS-CFT correspondence, anomalies in field and string theories