论文标题
Ricci-Flat Kerr和Kaluza-Klein广告黑洞之间的对应关系
A Correspondence between Ricci-flat Kerr and Kaluza-Klein AdS Black Hole
论文作者
论文摘要
我们在$ u（1）$ bundles上建立了爱因斯坦重力的明确对应关系，即$ u（1）$ bundles $ \ mathbb {cp}^m $ to tori上的kaluza-klein ads Gravity。这使我们能够以所有相等的角动量为奇数尺寸的ricci-flat Kerr指标绘制带有带电的kaluza-klein广告黑色孔的奇数尺寸，可将其抬高以单独旋转的M-Branes和D3-Branes。此外，我们发现Ricci-Flat引力插入式插座与ADS域壁之间的地图。特别是超对称螺栓激体孔对应于可以解释为分布的M型M-Branes和D3-Branes的结构壁，而非superymmetric Taub-Nut溶液可以产生新的域壁，可以将其提升为M-Theory或类型IIB Supergravity中的解决方案。该信件还激发了我们在Kaluza-Klein Ads重力中获得四个维度的新超电势。
We establish an explicit correspondence of Einstein gravity on the squashed spheres that are the $U(1)$ bundles over $\mathbb{CP}^m$ to the Kaluza-Klein AdS gravity on the tori. This allows us to map the Ricci-flat Kerr metrics in odd dimensions with all equal angular momenta to charged Kaluza-Klein AdS black holes that can be lifted to become singly rotating M-branes and D3-branes. Furthermore, we find maps between Ricci-flat gravitational instantons to the AdS domain walls. In particular the supersymmetric bolt instantons correspond to domain walls that can be interpreted as distributed M-branes and D3-branes, whilst the non-supersymmetric Taub-NUT solutions yield new domain walls that can be lifted to become solutions in M-theory or type IIB supergravity. The correspondence also inspires us to obtain a new superpotential in the Kaluza-Klein AdS gravity in four dimensions.
