On the new massive gravity and AdS/CFT. (English) Zbl 1288.83022
Summary: Demanding the existence of a simple holographic c-theorem, it is shown that a general (parity preserving) theory of gravity in 2+1 dimensions involving up to 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.
MSC:
| 83C45 | Quantization of the gravitational field |
| 83C57 | Black holes |
| 81T40 | Two-dimensional field theories, conformal field theories, etc. in quantum mechanics |
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