Central charges for AdS black holes
Central charges for AdS black holes
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DOI：
10.1088/1361-6382/ac45d8
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发表时间：
2020-07
影响因子：
3.5
通讯作者：
M. Perry;Maria J Rodriguez
中科院分区：
文献类型：
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作者：
M. Perry;Maria J Rodriguez
非平凡的超同构作用于一般的4D黑洞的视界，并创造出被称为软毛的区别特征。其中有一对左右Virasoro代数，它们带有相关的电荷，可以再现克尔黑洞的贝肯斯坦-霍金熵。在本文中，我们表明，如果增加一个负的宇宙学常数，有一个类似的无穷小的非平凡的作用在视界上的同态。这些非纯同态的代数产生了一个中心电荷。为了达到可积性，增加了一个边界反项，导致了定义明确的中心电荷c L = c R。Kerr-AdS黑洞的宏观面积定律来自于一个控制黑洞微观态的Cardy公式的假设。
Nontrivial diffeomorphisms act on the horizon of a generic 4D black holes and create distinguishing features referred to as soft hair. Amongst these are a left–right pair of Virasoro algebras with associated charges that reproduce the Bekenstein–Hawking entropy for Kerr black holes. In this paper we show that if one adds a negative cosmological constant, there is a similar set of infinitesimal diffeomorphisms that act non-trivially on the horizon. The algebra of these diffeomorphisms gives rise to a central charge. Adding a boundary counterterm, justified to achieve integrability, leads to well-defined central charges with c L = c R. The macroscopic area law for Kerr-AdS black holes follows from the assumption of a Cardy formula governing the black hole microstates.