Multicharge accelerating black holes and spinning spindles
Multicharge accelerating black holes and spinning spindles
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DOI：
10.1103/physrevd.105.126001
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发表时间：
2021-09
影响因子：
5
通讯作者：
Pietro Ferrero;Matteo Inglese;D. Martelli;J. Sparks
中科院分区：
文献类型：
--
作者：
Pietro Ferrero;Matteo Inglese;D. Martelli;J. Sparks
我们构造了一系列多动态带电和旋转的超对称AdS $_2\times \Sigma$解$D=4$, $\mathcal{N}=4$测量超重力，其中$\Sigma$是一个具有两个圆锥奇点的球体，称为主轴。我们认为，这些出现在AdS $_4$中极端动态带电旋转和加速超对称黑洞的近视界极限，我们推测存在。我们在非旋转极限中证明了这一点，构造了加速黑洞解，并表明非旋转主轴解作为这些黑洞超对称和极值子类的近视界极限出现。从近视界解中，我们计算了黑洞的Bekenstein-Hawking熵作为守恒电荷的函数，并表明这可以通过简单熵函数的极值来等效地获得。对于适当量子化的磁通量，溶液在$S^7$或其${\cal N}=4$轨道折叠$S^7/\Gamma$上上升到$D=11$超重力的光滑超对称解，在那里，熵预计将在$N$的大极限下计算包裹在纺轴上的$N$ m2膜上的理论微观状态。
We construct a family of multi-dyonically charged and rotating supersymmetric AdS$_2\times \Sigma$ solutions of $D=4$, $\mathcal{N}=4$ gauged supergravity, where $\Sigma$ is a sphere with two conical singularities known as a spindle. We argue that these arise as near horizon limits of extremal dyonically charged rotating and accelerating supersymmetric black holes in AdS$_4$, that we conjecture to exist. We demonstrate this in the non-rotating limit, constructing the accelerating black hole solutions and showing that the non-spinning spindle solutions arise as the near horizon limit of the supersymmetric and extremal sub-class of these black holes. From the near horizon solutions we compute the Bekenstein-Hawking entropy of the black holes as a function of the conserved charges, and show that this may equivalently be obtained by extremizing a simple entropy function. For appropriately quantized magnetic fluxes, the solutions uplift on $S^7$, or its ${\cal N}=4$ orbifolds $S^7/\Gamma$, to smooth supersymmetric solutions to $D=11$ supergravity, where the entropy is expected to count microstates of the theory on $N$ M2-branes wrapped on a spinning spindle, in the large $N$ limit.