Universality of the superpotential for d = 4 extremal black holes

Details Universality of the superpotential for d = 4 extremal black holes Universality of the superpotential for d = 4 extremal black holes

2009-10-14

arxiv.org/abs/0910.2697v2

Nucl.Phys.B832:358-381, 2010

Physics

High Energy Physics

High Energy Physics - Theory

29 pages. v2: typos corrected, comments and references added

Scientific paper

10.1016/j.nuclphysb.2010.02.015

We provide a general strategy to obtain the superpotential W for both BPS and non-BPS extremal black holes in N=2 four dimensional supergravities based on symmetric spaces. This extends the construction of W in terms of U-duality invariants that was presented in previous work on the $t^3$ model. As an application, we explicitly provide W and the solutions to the related gradient flows for the $st^2$ and stu models. The procedure is shown to hold also for the full N=8 theory. The role of flat directions in moduli space is clarified.

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