2006/06/30 by S. Ferrara, Sergio Ferrara, Eric G. Gimon +3 · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper · pdf · doi:10.1103/physrevd.74.125018
published as Phys.Rev.D74:125018,2006 · 33 pages, references added plus brief outline at end of introduction
arxiv created 2006/12/07 · openalex publication_date 2006/12/26 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01
We present explicit U-duality invariants for the ℝ, ℂ, ℚ, \mathbbO (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_7(\ensuremath-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.