Universality of the superpotential for d = 4 extremal black holes

Understand

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.