2008/08/31 by Geoffrey Compère, Stéphane Detournay · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/26/1/012001
published as Class.Quant.Grav.26:012001,2009; Erratum-ibid.26:139801,2009 · major sign mistake in the central charge corrected. Conclusion adapted. Minor typos corrected
openalex publication_date 2008/12/12 · arxiv created 2009/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30
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 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.