Central Charges in Extreme Black Hole/CFT Correspondence

Details Central Charges in Extreme Black Hole/CFT Correspondence Central Charges in Extreme Black Hole/CFT Correspondence

2009-02-06

arxiv.org/abs/0902.1001v3

JHEP 0905:077,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, v2:references added, published in JHEP

Scientific paper

10.1088/1126-6708/2009/05/077

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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