Extremal black holes, nilpotent orbits and the true fake superpotential

@article{Bossard2009ExtremalBH,
  title={Extremal black holes, nilpotent orbits and the true fake superpotential},
  author={Guillaume Bossard and Yann Michel and Boris Pioline},
  journal={Journal of High Energy Physics},
  year={2009},
  volume={2010},
  pages={1-66}
}
Dimensional reduction along time offers a powerful way to study stationary solutions of 4D symmetric supergravity models via group-theoretical methods. We apply this approach systematically to extremal, BPS and non-BPS, spherically symmetric black holes, and obtain their “fake superpotential” W. The latter provides first order equations for the radial problem, governs the mass and entropy formula and gives the semi-classical approximation to the radial wave function. To achieve this goal, we… 

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