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Chiral Gravity in Three Dimensions

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2008

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Springer
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Li, Wei, Wei Song, and Andrew Strominger. 2008. Chiral Gravity in Three Dimensions. Journal of High Energy Physics 2008(4): 82.

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)).

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black holes, models of quantum gravity, Chern-Simons Theories, AdS-CFT and dS-CFT Correspondence, high energy physics

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