Killing(-Yano) Tensors in String Theory
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.
Keywords
Cite
@article{arxiv.1505.06154,
title = {Killing(-Yano) Tensors in String Theory},
author = {Yuri Chervonyi and Oleg Lunin},
journal= {arXiv preprint arXiv:1505.06154},
year = {2015}
}
Comments
87 pages. V2: typos are corrected, appendix C and references are added. V3: several typos are fixed