Magic supergravities, N=8 and black hole composites

We present explicit U-duality invariants for the R, C, Q, O (real, complex, quaternionic, and octonionic) magic supergravities in four and five dimensions using complex forms with a reality condition. From these invariants we derive an explicit entropy function and corresponding stabilization equations which we use to exhibit stationary multicenter 1/2 Bogomol'nyi-Prasad-Sommerfield (BPS) solutions of these N=2 d=4 theories, starting with the octonionic one with E7(-25) duality symmetry. We generalize to stationary 1/8 BPS multicenter solutions of N=8, d=4 supergravity, using the consistent truncation to the quaternionic magic N=2 supergravity. We present a general solution of non-BPS attractor equations of the STU truncation of magic models. We finish with a discussion of the BPS-non-BPS relations and attractors in N=2 versus N=5, 6, 8.