Magic Supergravities, N= 8 and Black Hole Composites
Abstract
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 multi-center 1/2 BPS solutions of these N=2 d=4 theories, starting with the octonionic one with E_{7(-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.
Keywords
Cite
@article{arxiv.hep-th/0606211,
title = {Magic Supergravities, N= 8 and Black Hole Composites},
author = {Sergio Ferrara and Eric G. Gimon and Renata Kallosh},
journal= {arXiv preprint arXiv:hep-th/0606211},
year = {2008}
}
Comments
33 pages, references added plus brief outline at end of introduction