Talk abstract details

We study the properties of the Dirac-type operators generated by Killing-Yano tensors. We analyze the supersymmetries related to the covariantly constant Killing-Yano tensors that realize certain square roots of the metric tensor. Gravitational and axial anomalies are investigated on manifolds admitting hidden symmetries. To exemplify, the Euclidean Taub-NUT space and its generalizations are presented.