Central charges in extreme black hole/CFT correspondence

Central charges in extreme black hole/CFT correspondence
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DOI:
10.1088/1126-6708/2009/05/077
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发表时间:
2009-05-01
影响因子:
5.4
通讯作者:
Nishioka, Tatsuma
Nishioka, Tatsuma
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Compere, Geoffrey;Maurata, Keiju;Nishioka, Tatsuma

文献摘要

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假设非引力场的中心电荷消失,Kerr/CFT 对应关系最近已扩展到一般极值黑洞。为了证实这一提议,我们推导了爱因斯坦-麦克斯韦标量理论中守恒电荷在四维和五维拓扑项中的表达式,并检验上述假设是否正确。将计算出的中心电荷与预期的温度形式相结合,可以使用卡迪公式重现四维和五维一般极值黑洞的贝肯斯坦-霍金熵。
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.