N=8 non-BPS Attractors, Fixed Scalars and Magic Supergravities

Abstract

We analyze the Hessian matrix of the black hole potential of N=8, d=4 supergravity, and determine its rank at non-BPS critical points, relating the resulting spectrum to non-BPS solutions (with non-vanishing central charge) of N=2, d=4 magic supergravities and their ``mirror'' duals. We find agreement with the known degeneracy splitting of N=2 non-BPS spectrum of generic special Kahler geometries with cubic holomorphic prepotential. We also relate non-BPS critical points with vanishing central charge in N=2 magic supergravities to a particular reduction of the N=8, 1/8-BPS critical points.

1+25 pages, 4 Tables, no figures; v2: minor changes and corrections, Ref. added

References in corpus (4)

• Non-supersymmetric Black Holes and Topological Strings
• Black-Hole Attractors in N=1 Supergravity
• Attractor Horizon Geometries of Extremal Black Holes
• Jordan Algebras and Extremal Black Holes

Cited by in corpus (9)

• On the Moduli Space of non-BPS Attractors for N=2 Symmetric Manifolds
• d=4 Black Hole Attractors in N=2 Supergravity with Fayet-Iliopoulos Terms
• Non-BPS Attractors in 5d and 6d Extended Supergravity
• Attractors with Vanishing Central Charge
• Attractors in Black
• Separation of Attractors in 1-modulus Quantum Corrected Special Geometry
• BPS and non BPS 7D Black Attractors in M-Theory on K3
• The Effective Action of N=8 Supergravity
• Black Holes in Supergravity: the non-BPS Branch