# 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}
}
• Published 12 August 2009
• Mathematics
• Journal of High Energy Physics
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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