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arxiv: 1004.1032 · v1 · submitted 2010-04-07 · ✦ hep-th · gr-qc

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Generalized hidden symmetries and the Kerr-Sen black hole

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classification ✦ hep-th gr-qc
keywords formgeneralizedkilling-yanoblackequationsholekerr-sennaturally
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We elaborate on basic properties of generalized Killing-Yano tensors which naturally extend Killing-Yano symmetry in the presence of skew-symmetric torsion. In particular, we discuss their relationship to Killing tensors and the separability of various field equations. We further demonstrate that the Kerr-Sen black hole spacetime of heterotic string theory, as well as its generalization to all dimensions, possesses a generalized closed conformal Killing-Yano 2-form with respect to a torsion identified with the 3-form occuring naturally in the theory. Such a 2-form is responsible for complete integrability of geodesic motion as well as for separability of the scalar and Dirac equations in these spacetimes.

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