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Counterterms and dual holographic anomalies in CS gravity

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Theisen,  Stefan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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jhep102005067.pdf
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Citation

Banados, M., Olea, R., & Theisen, S. (2005). Counterterms and dual holographic anomalies in CS gravity. Journal of High Energy Physics, 2005(10): 067. doi:10.1088/1126-6708/2005/10/067.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4DC8-1
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.