On the new massive gravity and AdS/CFT

Mar, 2010
15 pages
Published in:
  • JHEP 06 (2010) 061
e-Print:

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Abstract: (arXiv)
Demanding the existence of a simple holographic cc-theorem, it is shown that a general (parity preserving) theory of gravity in 2+1 dimensions involving upto four derivative curvature invariants reduces to the new massive gravity theory. We consider extending the theory including upto six derivative curvature invariants. Black hole solutions are presented and consistency with 1+1 CFTs is checked. We present evidence that bulk unitarity is still in conflict with a positive CFT central charge for generic choice of parameters. However, for a special choice of parameters appearing in the four and six derivative terms reduces the linearized equations to be two derivative, thereby ameliorating the unitarity problem.
Note:
  • 16 pages, 2 figures. v4: typo corrected
  • Gauge-gravity correspondence
  • AdS-CFT Correspondence
  • gravitation: massive
  • dimension: 3
  • dimension: 2
  • AdS/CFT correspondence
  • central charge
  • holography
  • unitarity
  • black hole: thermodynamics