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Scalar field spacetimes and the anti-de Sitter space/conformal-field theory conjecture

Physical Review D - Particles, Fields, Gravitation and Cosmology, ISSN: 0556-2821, Vol: 64, Issue: 6, Page: 650271-650275
2001
  • 10
    Citations
  • 0
    Usage
  • 4
    Captures
  • 0
    Mentions
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Metric Options:   Counts1 Year3 Year

Metrics Details

  • Citations
    10
    • Citation Indexes
      10
  • Captures
    4

Article Description

We describe a class of asymptotically AdS scalar feld spacetimes, and calculate the associated conserved charges for three, four and five spacetime dimensions using the conformal and counterterm prescriptions. The energy associated with the solutions in each case is proportional to √M-k, where M is a constant and k is a scalar charge. In five spacetime dimensions, the counterterm prescription gives an additional vacuum (Casimir) energy, which agrees with that found in the context of AdS conformal-field theory (CFT) correspondence. We find a surprising degeneracy: the energy of the "extremal" scalar field solution M=k equals the energy of global AdS. This result is discussed in light of the AdS/CFT conjecture.

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