Integrability of supergravity black holes and new tensor classifiers of regular and nilpotent orbits

@article{Fr2012IntegrabilityOS,
  title={Integrability of supergravity black holes and new tensor classifiers of regular and nilpotent orbits},
  author={P. Fr{\'e} and A. Sorin and M. Trigiante},
  journal={Journal of High Energy Physics},
  year={2012},
  volume={2012},
  pages={1-108}
}
A bstractIn this paper we apply in a systematic way a previously developed integration algorithm of the relevant Lax equation to the construction of spherical symmetric, asymptotically flat black hole solutions of $ \mathcal{N} = 2 $ supergravities with symmetric Special Geometry. Our main goal is the classification of these black-holes according to the H⋆-orbits in which the space of possible Lax operators decomposes. By H⋆ one denotes the isotropy group of the coset UD=3/H⋆ which appears in… Expand
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