Semi-classical central charge in topologically massive gravity

Details Semi-classical central charge in topologically massive gravity Semi-classical central charge in topologically massive gravity

2008-08-13

arxiv.org/abs/0808.1911v3

Class.Quant.Grav.26:012001,2009; Erratum-ibid.26:139801,2009

Physics

High Energy Physics

High Energy Physics - Theory

major sign mistake in the central charge corrected. Conclusion adapted. Minor typos corrected

Scientific paper

10.1088/0264-9381/26/1/012001 10

It is shown that the warped black holes geometries discussed recently in 0807.3040 admit an algebra of asymptotic symmetries isomorphic to the semi-direct product of a Virasoro algebra and an algebra of currents. The realization of this asymptotic symmetry by canonical charges allows one to find the central charge of the Virasoro algebra. The right-moving central charge $c_R = \frac{(5\hat{\nu}^2+3)l}{G\hat{\nu} (\hat{\nu}^2+3)}$ is obtained when the Virasoro generators are normalized in order to have a positive zero mode spectrum for the warped black holes. The current algebra is also shown to be centrally-extended.

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