• DOI:10.1103/PhysRevD.74.125018
• Corpus ID: 26275303

Magic supergravities, N= 8 and black hole composites

@article{Ferrara2006MagicSN,
  title={Magic supergravities, N= 8 and black hole composites},
  author={Sergio Ferrara and Eric G. Gimon and Renata Kallosh},
  journal={Physical Review D},
  year={2006},
  volume={74},
  pages={125018}
}

• S. Ferrara, E. Gimon, R. Kallosh
• Published 21 June 2006
• Mathematics
• Physical Review D

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 E{sub 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.