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.