Universality of the superpotential for image extremal black holes Original Research Article

We provide a general strategy to obtain the superpotential W for both BPS and non-BPS extremal black holes in image 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 image model. As an application, we explicitly provide W and the solutions to the related gradient flows for the image and stu models. The procedure is shown to hold also for the full image theory. The role of flat directions in moduli space is clarified.