Scalar field spacetimes and the AdS/CFT conjecture
Abstract
We describe a class of asymptotically AdS scalar field spacetimes, and calculate the associated conserved charges for three, four and five spacetime dimensions using the conformal and counter-term prescriptions. The energy associated with the solutions in each case is proportional to , where is a constant and is a scalar charge. In five spacetime dimensions, the counter-term prescription gives an additional vacuum (Casimir) energy, which agrees with that found in the context of AdS/CFT correspondence. We find a surprising degeneracy: the energy of the ``extremal'' scalar field solution equals the energy of pure AdS. This result is discussed in light of the AdS/CFT conjecture.
Keywords
Cite
@article{arxiv.hep-th/0101169,
title = {Scalar field spacetimes and the AdS/CFT conjecture},
author = {Saurya Das and J. Gegenberg and V. Husain},
journal= {arXiv preprint arXiv:hep-th/0101169},
year = {2016}
}
Comments
5 pages, Latex, additional commentary on results, version to appear in Phys. Rev. D