The holographic Weyl anomaly

@article{Henningson1998TheHW,
  title={The holographic Weyl anomaly},
  author={M{\aa}ns Henningson and Kostas Skenderis},
  journal={Journal of High Energy Physics},
  year={1998},
  volume={1998},
  pages={023-023}
}
We calculate the Weyl anomaly for conformal field theories that can be described via the adS/CFT correspondence. This entails regularizing the gravitational part of the corresponding supergravity action in a manner consistent with general covariance. Up to a constant, the anomaly only depends on the dimension d of the manifold on which the conformal field theory is defined. We present concrete expressions for the anomaly in the physically relevant cases d = 2,4 and 6. In d = 2 we find for the… 

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