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Generalized hidden symmetries and the Kerr-Sen black hole

  • Tsuyoshi Houri
  • David Kubizňák
  • Claude M. Warnick
  • Yukinori Yasui
Article

Abstract

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.

Keywords

Black Holes in String Theory Space-Time Symmetries 

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Copyright information

© SISSA, Trieste, Italy 2010

Authors and Affiliations

  • Tsuyoshi Houri
    • 1
  • David Kubizňák
    • 2
  • Claude M. Warnick
    • 2
    • 3
  • Yukinori Yasui
    • 4
  1. 1.Osaka City University Advanced Mathematical InstituteOsakaJapan
  2. 2.DAMTP, University of CambridgeCambridgeU.K.
  3. 3.Queens’ CollegeCambridgeU.K.
  4. 4.Department of Mathematics and Physics, Graduate School of ScienceOsaka City UniversityOsakaJapan

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