Central charges in extreme black hole/CFT correspondence

Geoffrey Compère, Keiju Murata, Tatsuma Nishioka

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82 Citations (Scopus)


The Kerr/CFT correspondence has been recently broadened to the general extremal black holes under the assumption that the central charges from the non-gravitational fields vanish. To confirm this proposal, we derive the expression of the conserved charges in the Einstein-Maxwell-scalar theory with topological terms in four and five dimensions and check that the above assumption was correct. Combining the computed central charge with the expected form of the temperature, the Bekenstein-Hawking entropy of the general extremal black holes in four and five dimensions can be reproduced by using the Cardy formula.

Original languageEnglish
Article number077
JournalJournal of High Energy Physics
Issue number5
Publication statusPublished - 2009 Jul 7



  • AdS-CFT correspondence
  • Black holes
  • Space-Time symmetries

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

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