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arXiv · 1608.05052

Hidden symmetries of black holes in five-dimensional supergravity

David D. K. Chow
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Abstract

We consider a general charged, rotating black hole in five-dimensional STU supergravity, and show that its six-dimensional Kaluza-Klein lift admits a Killing-Yano 3-form with torsion. This underlies its known Killing tensors in five dimensions, and is related to the separability of torsion-modified Dirac equations. In the generalization to gauged supergravity, we present a five-dimensional Killing-Yano 3-form with torsion when two of the gauge fields are equal, and a Killing-Stackel tensor in the general 3-charge Wu solution.

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David D. K. Chow. 2016-08-17. Hidden symmetries of black holes in five-dimensional supergravity. https://arxiv.org/abs/1608.05052

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