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arXiv · 0806.3196

d=4 Attractors, Effective Horizon Radius and Fake Supergravity

S. Ferrara·A. Gnecchi·A. Marrani
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Abstract

We consider extremal black hole attractors (both BPS and non-BPS) for N=3 and N=5 supergravity in d=4 space-time dimensions. Attractors for matter-coupled N=3 theory are similar to attractors in N=2 supergravity minimally coupled to Abelian vector multiplets. On the other hand, N=5 attractors are similar to attractors in N=4 pure supergravity, and in such theories only 1\N-BPS non-degenerate solutions exist. All the above mentioned theories have a simple interpretation in the first order (fake supergravity) formalism. Furthermore, such theories do not have a d=5 uplift. Finally we comment on the "duality" relations among the attractor solutions of N\geq2 supergravities sharing the same full bosonic sector.

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S. Ferrara, A. Gnecchi, A. Marrani. 2008-09-02. d=4 Attractors, Effective Horizon Radius and Fake Supergravity. https://doi.org/10.1103/physrevd.78.065003

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