Chiral Gravity in Three Dimensions
نویسندگان
چکیده
Three dimensional Einstein gravity with negative cosmological constant −1/l2 deformed by a gravitational Chern-Simons action with coefficient 1/μ is studied in an asymptotically AdS3 spacetime. It is argued to violate unitary or positivity for generic μ due to negativeenergy massive gravitons. However at the critical value μl = 1, the massive gravitons disappear and BTZ black holes all have mass and angular momentum related by lM = 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 (cL, cR) = (0, 3l/G). Permanent address: Institute of Theoretical Physics Academia Sinica, Beijing 100080, China.
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