Accelerating black holes and spinning spindles
Accelerating black holes and spinning spindles
复制标题
加速黑洞和旋转主轴
作者：
Pietro Ferrero;J. Gauntlett;Juan Manuel Pérez Ipiña;D. Martelli;J. Sparks
我们研究Pleba‘nski-Demia’nski族中的解，它描述了在$ADS_4中加速、旋转和带电的黑洞。这些是具有负宇宙常数的$D=4$爱因斯坦-麦克斯韦理论的解，因此具有最小的$D=4$规范超引力。众所周知，当加速度不为零时，$D=4$黑洞度规具有锥形奇点。通过使用正则的Sasaki-Einstein$7$-流形，$SE_7$将解提升到$D=11$超重力，我们展示了如何选择自由参数来消除锥形奇点。在拓扑上，$D=11$解包含了二维加权射影空间上的$SE_7$纤维，$mathbb{wcp}^1_{[n_-，n_+]}$，也称为纺锤，它由两个整数来标记，这两个整数决定了$D=4$度量的锥奇点。我们还讨论了超对称极限和极值极限，证明了近视界极限产生了一族新的正则超对称$ADS_2亚模Y_9$超引力解，它通过增加一个旋转参数推广了已知的一族。我们计算了这些黑洞的熵，并论证了在旋转的主轴上用适当的磁通量压缩的某些抖动规范理论应该有可能得到这一结果。
We study solutions in the Pleba'nski--Demia'nski family which describe an accelerating, rotating and dyonically charged black hole in $AdS_4$. These are solutions of $D=4$ Einstein-Maxwell theory with a negative cosmological constant and hence minimal $D=4$ gauged supergravity. It is well known that when the acceleration is non-vanishing the $D=4$ black hole metrics have conical singularities. By uplifting the solutions to $D=11$ supergravity using a regular Sasaki-Einstein $7$-manifold, $SE_7$, we show how the free parameters can be chosen to eliminate the conical singularities. Topologically, the $D=11$ solutions incorporate an $SE_7$ fibration over a two-dimensional weighted projective space, $mathbb{WCP}^1_{[n_-,n_+]}$, also known as a spindle, which is labelled by two integers that determine the conical singularities of the $D=4$ metrics. We also discuss the supersymmetric and extremal limit and show that the near horizon limit gives rise to a new family of regular supersymmetric $AdS_2 imes Y_9$ solutions of $D=11$ supergravity, which generalise a known family by the addition of a rotation parameter. We calculate the entropy of these black holes and argue that it should be possible to derive this from certain ${cal N}=2$, $d=3$ quiver gauge theories compactified on a spinning spindle with appropriate magnetic flux.
c-极端化的几何对偶
影响因子：
5.4
作者：
Couzens C
通讯作者：
Couzens C
洛伦兹弯曲空间和全息术中的超对称性
影响因子：
2.4
作者：
Cassani D
通讯作者：
Cassani D