论文标题

超对称旋转广告的近摩恩几何形状$ _4 $黑洞

The Near-Horizon Geometry of Supersymmetric Rotating AdS$_4$ Black Holes in M-theory

论文作者

Couzens, Christopher, Marcus, Eric, Stemerdink, Koen, van de Heisteeg, Damian

论文摘要

我们分类了必要和充分的条件,以获得嵌入11D超级重力的极端超对称黑洞的近摩尼子几何形状。这种旋转的黑洞允许ADS $ _2 $近摩恩几何形状,该几何形状由横向时空的方向纤维。尽管他们对理解旋转黑洞的熵的兴趣清晰,但由于非平凡的纤维化结构,这些解决方案已经逃避了所有以前的超对称分类程序。在本文中,我们允许在ADS $ _2 $上进行最通用的纤维,并具有通量配置,允许旋转M2-BRANES。使用G结构技术,我们根据八维平衡空间上的微分方程来重写超对称的条件。 9D紧凑的内部空间是该8D基础上的U $(1)$ - 纤维化。几何形状受到主方程的约束,让人联想到非旋转情况下发现的几何形状。我们给出了一个拉格朗日,可以从中得出运动方程,并在4D $ \ Mathcal {n} = 2 $ supergravity中嵌入到分类中。此外,我们通过使用11D设置的二元性来介绍IIB中旋转黑弦的近摩恩几何形状的条件。

We classify the necessary and sufficient conditions to obtain the near-horizon geometry of extremal supersymmetric rotating black holes embedded in 11d supergravity. Such rotating black holes admit an AdS$_2$ near-horizon geometry which is fibered by the transverse spacetime directions. Despite their clear interest to understanding the entropy of rotating black holes, these solutions have evaded all previous supersymmetric classification programs due to the non-trivial fibration structure. In this paper we allow for the most general fibration over AdS$_2$ with a flux configuration permitting rotating M2-branes. Using G-structure techniques we rewrite the conditions for supersymmetry in terms of differential equations on an eight-dimensional balanced space. The 9d compact internal space is a U$(1)$-fibration over this 8d base. The geometry is constrained by a master equation reminiscent of the one found in the non-rotating case. We give a Lagrangian from which the equations of motion may be derived, and show how the asymptotically AdS$_4$ electrically charged Kerr-Newman black hole in 4d $\mathcal{N}=2$ supergravity is embedded in the classification. In addition, we present the conditions for the near-horizon geometry of rotating black strings in Type IIB by using dualities with the 11d setup.

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