We derive and solve the black hole attractor conditions of $N=8$ supergravity by finding the critical points of the corresponding black hole potential. This is achieved by a simple generalization of the special geometry symplectic structure to all extended supergravities with $N>2$. There are two classes of solutions for regular black holes, one for $1/8$ BPS ones and one for the non-BPS. We discuss the solutions of the moduli at the horizon for BPS attractors using $N=2$ language. An interpretation of some of these results in $N=2$, STU black hole context helps to clarify the general features of the black hole attractors.

• Received 5 April 2006

DOI:https://doi.org/10.1103/PhysRevD.73.125005