Sasaki-Einstein Twist of Kerr-AdS Black Holes
Yoshitake Hashimoto, Makoto Sakaguchi, Yukinori Yasui
TL;DR
This paper explores how twisting Killing vectors of Kerr-AdS black holes in odd dimensions yields Sasaki-Einstein manifolds, with implications for string theory and M-theory.
Contribution
It demonstrates a method to generate Sasaki-Einstein manifolds from Kerr-AdS black holes via Killing vector twisting in higher dimensions.
Findings
Reproduction of known Sasaki-Einstein manifolds through twisting
Insights into the geometric structure of black holes in higher dimensions
Implications for string theory and M-theory compactifications
Abstract
We consider Kerr-AdS black holes with equal angular momenta in arbitrary odd spacetime dimensions \ge 5. Twisting the Killing vector fields of the black holes, we reproduce the compact Sasaki-Einstein manifolds constructed by Gauntlett, Martelli, Sparks and Waldram. We also discuss an implication of the twist in string theory and M-theory.
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