Probing the EVH limit of supersymmetric AdS black holes

Probing the EVH limit of supersymmetric AdS black holes
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探索超对称AdS黑洞的EVH极限

DOI:
10.1007/jhep02(2020)154
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发表时间:
2019-10
影响因子:
5.4
通讯作者:
Li Wei
Li Wei
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
Goldstein Kevin;Jejjala Vishnu;Lei Yang;van Leuven Sam;Li Wei

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众所周知,一般维度的极端黑洞在其近视界几何结构中包含ADS2因子。如果极值极限与特定的消失视界极限,即所谓的极值消失视界(EVH)极限相结合,则ADS2因子上升为具有收缩角方向的局部ADS3因子。本文研究了保持一定超对称性的渐近AdS黑洞的EVH极限。我们考虑的主要例子是1/16 BPS渐近AdS5黑洞,它的EVH极限在其近视界几何中有一个ADS3因子。我们还考虑了这个黑洞的近EVH极限,其中近视界几何包含一个极值BTZ因子。我们利用最近关于对偶CFT4的超共形指数的大-N极限的结果来理解CFT4的IR中出现CFT2,这是近视界几何中局部ADS3因子出现的双重场论。特别地,我们证明了超共形指数的拉普拉斯逆变换,得到了黑洞的熵,等价于对偶CFT2的Cardy公式的推导。最后,我们研究了其他维超对称黑洞的EVH极限。
Extremal black holes in general dimensions are well known to contain an AdS2 factor in their near-horizon geometries. If the extremal limit is taken in conjunction with a specific vanishing horizon limit, the so-called Extremal Vanishing Horizon (EVH) limit, the AdS2 factor lifts to a locally AdS3 factor with a pinching angular direction. In this paper, we study the EVH limit of asymptotically AdS black holes which preserve some supersymmetry. The primary example we consider is the 1/16th BPS asymptotically AdS5 black hole, whose EVH limit has an AdS3 factor in its near-horizon geometry. We also consider the near-EVH limit of this black hole, in which the near-horizon geometry instead contains an extremal BTZ factor. We employ recent results on the large-N limit of the superconformal index of the dual CFT4 to understand the emergence of a CFT2 in the IR of the CFT4, which is the field theory dual to the emergence of the locally AdS3 factor in the near-horizon geometry. In particular, we show that the inverse Laplace transform of the superconformal index, yielding the black hole entropy, becomes equivalent to the derivation of a Cardy formula for the dual CFT2. Finally, we examine the EVH limit of supersymmetric black holes in other dimensions.
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