Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-01-25
Phys.Rev. D64 (2001) 065027
Physics
High Energy Physics
High Energy Physics - Theory
5 pages, Latex, additional commentary on results, version to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.64.065027
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 $\sqrt{M^2 - k^2}$, where $M$ is a constant and $k$ 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 $M=k$ equals the energy of pure AdS. This result is discussed in light of the AdS/CFT conjecture.
Das Saurya
Gegenberg Jack
Husain Viqar
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