A Correspondence between Ricci-flat Kerr and Kaluza-Klein AdS Black Hole
arXiv:2011.12971
Abstract
We establish an explicit correspondence of Einstein gravity on the squashed spheres that are the bundles over 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.
arXiv commentLatex 21 pages, typos corrected, version to appear in JHEP
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