Chiral Gravity in Three Dimensions

Details Chiral Gravity in Three Dimensions Chiral Gravity in Three Dimensions

2008-01-30

arxiv.org/abs/0801.4566v2

JHEP 0804:082,2008

Physics

High Energy Physics

High Energy Physics - Theory

21 pages, published version, typos corrected, more reference added

Scientific paper

10.1088/1126-6708/2008/04/082

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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