Diffeomorphisms and Weyl transformations in AdS_3 gravity

  title={Diffeomorphisms and Weyl transformations in AdS\_3 gravity},
  author={Karin Bautier},
  journal={arXiv: High Energy Physics - Theory},
  • 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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Conformal Invariants.
  • J. M. Thomas
  • Physics, Medicine
    Proceedings of the National Academy of Sciences of the United States of America
  • 1926
Central charge in the canonical realization of asymptotic symmetries : an example from three - dimensional grav
  • Commun . Math . Phys .
  • 1986
Conformal invariants, in Elie Cartan et les Mathématiques d’aujourd’hui, Astérisque
  • Quantum aspects of gauge theories, supersymmetry and unification,
  • 1999
Henneaux, Central charge in the canonical realization of asymptotic symmetries : an example from three-dimensional gravity
  • Commun. Math. Phys
  • 1986