Entropy of Kaluza―Klein black hole from Kerr/CFT correspondence
Entropy of Kaluza―Klein black hole from Kerr/CFT correspondence
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DOI：
10.1016/j.physletb.2010.06.031
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发表时间：
2010-04
影响因子：
4.4
通讯作者：
Ran Li;M. Li;Ji-rong Ren
中科院分区：
文献类型：
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作者：
Ran Li;M. Li;Ji-rong Ren
我们推广了最近提出的Kerr/CFT对应，研究了Einstein-Maxwell-Dilaton理论中四维Kaluza-Klein黑洞的对偶共形场论.对于极端Kaluza-Klein黑洞，采用Guica，Hartman，Song和Strominger的方法计算了对偶共形场的中心电荷和温度.同时，我们证明了Cardy公式给出的微观熵与极端Kaluza-Klein黑洞的Bekenstein-Hawking熵是一致的.在非极值情形下，通过研究中性无质量标量场的近区波动方程，研究了Kaluza-Klein黑洞的隐共形对称性，得到了对偶共形场论的左右温度.进一步，我们发现非极值Kaluza-Klein黑洞的熵可以用Cardy公式再现.
We extend the recently proposed Kerr/CFT correspondence to examine the dual conformal field theory of four-dimensional Kaluza–Klein black hole in Einstein–Maxwell–Dilaton theory. For the extremal Kaluza–Klein black hole, the central charge and temperature of the dual conformal field are calculated following the approach of Guica, Hartman, Song and Strominger. Meanwhile, we show that the microscopic entropy given by the Cardy formula agrees with Bekenstein–Hawking entropy of extremal Kaluza–Klein black hole. For the non-extremal case, by studying the near-region wave equation of a neutral massless scalar field, we investigate the hidden conformal symmetry of Kaluza–Klein black hole, and find the left and right temperatures of the dual conformal field theory. Furthermore, we find that the entropy of non-extremal Kaluza–Klein black hole is reproduced by Cardy formula.