d=4 Attractors, Effective Horizon Radius and Fake Supergravity

Understand

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.