Chiral Gravity in Three Dimensions

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Chiral Gravity in Three Dimensions

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Title: Chiral Gravity in Three Dimensions
Author: Li, Wei; Song, Wei; Strominger, Andrew E.

Note: Order does not necessarily reflect citation order of authors.

Citation: Li, Wei, Wei Song, and Andrew Strominger. 2008. Chiral Gravity in Three Dimensions. Journal of High Energy Physics 2008(4): 82.
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Abstract: 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 \((c_L,c_R)=(0,3\ell /G)\).
Published Version: doi:10.1088/1126-6708/2008/04/082
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