# 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} }

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…

## 13 Citations

Diffeomorphisms and holographic anomalies

- Mathematics
- 1999

Using the relation between diffeomorphisms in the bulk and Weyl transformations on the boundary, we study the Weyl transformation properties of the bulk metric on-shell and of the boundary action. We…

Weyl charges in asymptotically locally
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We discuss an enhancement of the Brown-Henneaux boundary conditions in three-dimensional AdS General Relativity to encompass Weyl transformations of the boundary metric. The resulting asymptotic…

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In this work we construct holographic boundary theories for linearized 3D gravity, for a general family of finite or quasi-local boundaries. These boundary theories are directly derived from the…

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- 1999

It is shown that local symmetry transformations of the maximal AdS supergravity in seven-dimensional anti de Sitter space induce those of the N=(2,0) conformal supergravity on the six-dimensional…

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- Physics
- 2008

We describe a new class of boundary conditions for AdSd+1 under which the boundary metric becomes a dynamical field. The key technical point is to show that contributions from boundary counter-terms…

3d gravity in Bondi-Weyl gauge: charges, corners, and integrability

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We introduce a new gauge and solution space for three-dimensional gravity. As its name Bondi-Weyl suggests, it leads to non-trivial Weyl charges, and uses Bondi-like coordinates to allow…

Holographic Reconstruction of Spacetime¶and Renormalization in the AdS/CFT Correspondence

- Physics
- 2000

Abstract: We develop a systematic method for renormalizing the AdS/CFT prescription for computing correlation functions. This involves regularizing the bulk on-shell supergravity action in a…

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