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Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits

By Mihai Visinescu and Eduard Vîlcu

Abstract

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

Topics: Killing forms, Einstein-Sasaki space, Calabi-Yau spaces, Mathematics, QA1-939, Science, Q, DOAJ:Mathematics, DOAJ:Mathematics and Statistics
Publisher: National Academy of Science of Ukraine
Year: 2012
DOI identifier: 10.3842/SIGMA.2012.058
OAI identifier: oai:doaj.org/article:2c2ad002039848d18ed6782f55ceb0d7
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