Attractors in Black

Details Attractors in Black Attractors in Black

2008-05-09

arxiv.org/abs/0805.1310v1

Fortsch.Phys.56:761-785,2008

Physics

High Energy Physics

High Energy Physics - Theory

1+31 pages, 5 tables. Contribution to the Proceedings of the 3rd RTN Workshop ``Constituents, Fundamental Forces and Symmetrie

Scientific paper

10.1002/prop.200810566

We review recent results in the study of attractor horizon geometries (with non-vanishing Bekenstein-Hawking entropy) of dyonic extremal d=4 black holes in supergravity. We focus on N=2, d=4 ungauged supergravity coupled to a number n_{V} of Abelian vector multiplets, outlining the fundamentals of the special Kaehler geometry of the vector multiplets' scalar manifold (of complex dimension n_{V}), and studying the 1/2-BPS attractors, as well as the non-BPS (non-supersymmetric) ones with non-vanishing central charge. For symmetric special Kaehler geometries, we present the complete classification of the orbits in the symplectic representation of the classical U-duality group (spanned by the black hole charge configuration supporting the attractors), as well as of the moduli spaces of non-BPS attractors (spanned by the scalars which are not stabilized at the black hole event horizon). Finally, we report on an analogous classification for N>2-extended, d=4 ungauged supergravities, in which also the 1/N-BPS attractors yield a related moduli space.

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