Killing(-Yano) Tensors in String Theory

Authors

Yuri Chervonyi, Department of Physics, University at AlbanyFollow
Oleg Lunin, Department of Physics, University at AlbanyFollow

Document Type

Article

Publication Date

Fall 2015

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.

Recommended Citation

Chervonyi, Yuri and Lunin, Oleg, "Killing(-Yano) Tensors in String Theory" (2015). Physics Faculty Scholarship. 50.
https://scholarsarchive.library.albany.edu/physics_fac_scholar/50