English

Scalar field spacetimes and the AdS/CFT conjecture

High Energy Physics - Theory 2016-09-06 v2 General Relativity and Quantum Cosmology

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 M2k2\sqrt{M^2 - k^2}, where MM is a constant and kk 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=kM=k 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