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Chiral Gravity in Three Dimensions

Wei Li Harvard University Wei Song Harvard University Andrew Strominger Harvard University

Mathematical Physics mathscidoc:1702.22038

Journal of High Energy Physics, 2008.1
Three dimensional Einstein gravity with negative cosmological constant -1/\ell^2 deformed by a gravitational Chern-Simons action with coefficient 1/\mu is studied in an asymptotically AdS_3 spacetime. It is argued to violate unitary or positivity for generic \mu due to negative-energy massive gravitons. However at the critical value \mu\ell=1, the massive gravitons disappear and BTZ black holes all have mass and angular momentum related by \ell M=J. The corresponding chiral quantum theory of gravity is conjectured to exist and be dual to a purely right-moving boundary CFT with central charges (c_L,c_R)=(0,3\ell /G).
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@inproceedings{wei2008chiral,
  title={Chiral Gravity in Three Dimensions },
  author={Wei Li, Wei Song, and Andrew Strominger},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170228154849475824570},
  booktitle={ Journal of High Energy Physics},
  year={2008},
}
Wei Li, Wei Song, and Andrew Strominger. Chiral Gravity in Three Dimensions . 2008. In Journal of High Energy Physics. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20170228154849475824570.
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