Chiral Gravity in Three Dimensions

 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. Full Text & Related Files: 0801.4566v2.pdf (184.8Kb; PDF) 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 Other Sources: http://arxiv.org/abs/0801.4566v2 Terms of Use: This article is made available under the terms and conditions applicable to Open Access Policy Articles, as set forth at http://nrs.harvard.edu/urn-3:HUL.InstRepos:dash.current.terms-of-use#OAP Citable link to this page: http://nrs.harvard.edu/urn-3:HUL.InstRepos:8087226 Downloads of this work: