5D Black Rings and 4D Black Holes
Davide Gaiotto, Andrew Strominger, Xi Yin
TL;DR
This paper explores the relationship between 4D black holes and 5D black rings in M-theory, demonstrating that general 4D multi-black hole configurations lift to 5D black rings within Taub-NUT-flux geometries, strengthening the 4D-5D correspondence.
Contribution
It extends the 4D-5D BPS partition function relation by showing that general 4D multi-black holes lift to 5D black rings in Taub-NUT-flux geometries.
Findings
4D multi-black holes lift to 5D black rings in M-theory.
The 4D-5D BPS partition function relation is reinforced.
Generalization from single to multi-black hole configurations.
Abstract
It has recently been shown that the M theory lift of a IIA 4D BPS Calabi-Yau black hole is a 5D BPS black hole spinning at the center of a Taub-NUT-flux geometries, and a certain linear relation between 4D and 5D BPS partition functions was accordingly proposed. In the present work we fortify and enrich this proposal by showing that the M-theory lift of the general 4D multi-black hole geometry are 5D black rings in a Taub-NUT-flux geometry.
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