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Central Charges in Extreme Black Hole/CFT Correspondence
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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.
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Cited by 3 Pith papers
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Classical $J\bar T$ symmetries -- three ways -- and a precision holography check
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Near-horizon extremal BTZ black holes in NMG and TMG carry two Virasoro algebras whose central charges equal their spatial-infinity values.
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Thermodynamics of Kerr-Bertotti-Robinson black hole
A consistent thermodynamics of the Kerr-Bertotti-Robinson black hole is constructed by adopting the Christodoulou-Ruffini mass relation, yielding a first law and Smarr formula without an explicit magnetic-field work term.
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