Diffeomorphisms and Weyl transformations in AdS_3 gravity

Details Diffeomorphisms and Weyl transformations in AdS_3 gravity Diffeomorphisms and Weyl transformations in AdS_3 gravity

1999-10-18

arxiv.org/abs/hep-th/9910134v1

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, Latex. Presented at the TMR European program meeting "Quantum aspects of gauge theories, supersymmetry and unificatio

Scientific paper

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 allows to interpret the computed Lie derivative as minus the Weyl anomaly of the two-dimensional effective action.

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