Killing(-Yano) Tensors in String Theory
arXiv:1505.06154 · doi:10.1007/JHEP09(2015)182
Abstract
We construct the Killing(-Yano) tensors for a large class of charged black holes in higher dimensions and study general properties of such tensors, in particular, their behavior under string dualities. Killing(-Yano) tensors encode the symmetries beyond isometries, which lead to insights into dynamics of particles and fields on a given geometry by providing a set of conserved quantities. By analyzing the eigenvalues of the Killing tensor, we provide a prescription for constructing several conserved quantities starting from a single object, and we demonstrate that Killing tensors in higher dimensions are always associated with ellipsoidal coordinates. We also determine the transformations of the Killing(-Yano) tensors under string dualities, and find the unique modification of the Killing-Yano equation consistent with these symmetries. These results are used to construct the explicit form of the Killing(-Yano) tensors for the Myers-Perry black hole in arbitrary number of dimensions and for its charged version.
87 pages. V2: typos are corrected, appendix C and references are added. V3: several typos are fixed
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- Slowly damped quasinormal modes of the massive Dirac field in d-dimensional Tangherlini spacetime
- New currents with Killing-Yano tensors
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