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

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

2007-05-26

arxiv.org/abs/0705.3866v2

Nucl.Phys.B788:63-88,2008

Physics

High Energy Physics

High Energy Physics - Theory

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

Scientific paper

10.1016/j.nuclphysb.2007.07.028

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.

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