Diffeomorphisms and Weyl transformations in AdS_3 gravity

@article{Bautier1999DiffeomorphismsAW,
  title={Diffeomorphisms and Weyl transformations in AdS\_3 gravity},
  author={Karin Bautier},
  journal={arXiv: High Energy Physics - Theory},
  year={1999}
}
  • K. Bautier
  • Published 1 October 1999
  • Mathematics
  • arXiv: High Energy Physics - Theory
It is shown that the AdS_3 gravity action with boundary terms is non invariant under diffeomorphisms and that its Lie derivative has the form of the Weyl anomaly in two dimensions. This variation is compensated by a Weyl transformation of the boundary metric when the radial derivative of the metric on the boundary is expressed in terms of the stress tensor of a Liouville field. The obtained invariance of the action under the combined transformation of a diffeomorphism and a Weyl transformation… 
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