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On the new massive gravity and AdS/CFT

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Abstract

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 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.

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Authors and Affiliations

  1. Perimeter Institute for Theoretical Physics, Waterloo, Ontario, N2L 2Y5, Canada

    Aninda Sinha

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  1. Aninda Sinha
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Correspondence to Aninda Sinha.

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ArXiv ePrint: 1003.0683

Dedicated to the loving memory of my father

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Sinha, A. On the new massive gravity and AdS/CFT. J. High Energ. Phys. 2010, 61 (2010). https://doi.org/10.1007/JHEP06(2010)061

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  • DOI: https://doi.org/10.1007/JHEP06(2010)061

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