Since the proposal of the AdS/CFT correspondence, made by Maldacena and Witten, there has been some controversy about the definition of conserved Noether charges associated to asymptotic isometries in asymptotically AdS spacetimes, namely, whether they form an anomalous (i.e., a nontrivial central extension) representation of the Lie algebra of the conformal group in odd bulk dimensions or not. In the present work, we shall review the derivation of these charges by using covariant phase space techniques, emphasizing the principle of locality underlying it. We shall also comment on how these issues manifest themselves in the quantum setting.
Brazilian Journal of Physics
- Pub Date:
- December 2005
- General Relativity and Quantum Cosmology
- revtex4 format, 3 pages, no figures. Modified version of a poster presentation made at the International Conference ''100 Years of Relativity'', held at the MASP, Sao Paulo, Brazil, in August 22nd-24th, 2005. Submitted to refereeing for publication in Conference's Proceedings volume by Braz.J.Phys