Killing forms on the five-dimensional Einstein-Sasaki Y(p,q) spaces
Mihai Visinescu
TL;DR
This paper identifies all Killing-Yano tensors on five-dimensional Einstein-Sasaki Y(p,q) spaces, revealing new hidden symmetries that lead to superintegrable geodesic equations, enhancing understanding of their geometric structure.
Contribution
It provides the complete set of Killing-Yano tensors on Y(p,q) spaces and discovers two new tensors linked to the Calabi-Yau cone's complex volume form.
Findings
Two new Killing-Yano tensors identified
Hidden symmetries are non-anomalous
Geodesic equations are superintegrable
Abstract
We present the complete set of Killing-Yano tensors on the five-dimensional Einstein-Sasaki Y(p,q) spaces. Two new Killing-Yano tensors are identified, associated with the complex volume form of the Calabi-Yau metric cone. The corresponding hidden symmetries are not anomalous and the geodesic equations are superintegrable.
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