Journal
CLASSICAL AND QUANTUM GRAVITY
Volume 26, Issue 1, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0264-9381/26/1/012001
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Funding
- US National Science Foundation [PHY05-55669]
- University of California
- INFN
- Italian MIUR-PRIN [20075ATT78]
- BAEF foundation
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It is shown that the warped black hole geometries discussed recently in arXiv: 0807.3040 (Anninos et al 2008) 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 us to find the central charge of the Virasoro algebra. The right-moving central charge c(R) = -(5 (nu) over cap (2)+ 3)l/G (nu) over cap(($) over cap (2)+ 3) is obtained when the Virasoro generators are normalized in order to have a positive zero-mode spectrum for the warped black holes. If one normalizes the Virasoro generators in order to have a positive central charge, the zero mode is then unbounded from below. The current algebra is also shown to be centrally extended.
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