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arXiv · 0808.1911

Semi-classical central charge in topologically massive gravity

Geoffrey Compère·Stéphane Detournay
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Abstract

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 $c_R = \frac{(5\hatν^2+3)l}{G\hatν (\hatν^2+3)}$ 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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Geoffrey Compère, Stéphane Detournay. 2009-02-25. Semi-classical central charge in topologically massive gravity. https://doi.org/10.1088/0264-9381%2F26%2F1%2F012001%2010.1088%2F0264-9381%2F26%2F13%2F139801

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