Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
Copyright policy )Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits
The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones. The complete set of Killing-Yano tensors of the Einstein-Sasaki spaces are presented. For this purpose the Killing forms of the Calabi-Yau cone over the Einstein-Sasaki manifold are constructed. Two new Killing forms on Einstein-Sasaki manifolds are identified associated with the complex volume form of the cone manifolds. Finally the Killing forms on mixed 3-Sasaki manifolds are briefly described.
15 pages; text revised in Section 3.2, references added
- University of Bucharest Romania
- Petroleum & Gas University of Ploieşti Romania
High Energy Physics - Theory, Calabi-Yau space, FOS: Physical sciences, Mathematical Physics (math-ph), Quantum field theory on curved space or space-time backgrounds, Killing form, Einstein-Sasaki space, Calabi-Yau spaces, Special Riemannian manifolds (Einstein, Sasakian, etc.), High Energy Physics - Theory (hep-th), QA1-939, General geometric structures on manifolds (almost complex, almost product structures, etc.), Killing forms, Mathematics, Mathematical Physics
High Energy Physics - Theory, Calabi-Yau space, FOS: Physical sciences, Mathematical Physics (math-ph), Quantum field theory on curved space or space-time backgrounds, Killing form, Einstein-Sasaki space, Calabi-Yau spaces, Special Riemannian manifolds (Einstein, Sasakian, etc.), High Energy Physics - Theory (hep-th), QA1-939, General geometric structures on manifolds (almost complex, almost product structures, etc.), Killing forms, Mathematics, Mathematical Physics
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