Supersymmetric AdS4 black holes and attractors

On the non-BPS first order flow in $ \mathcal{N} $ = 2 U(1)-gauged Supergravity

“…Static regular black holes solutions in N = 2 U(1)-gauged Supergravity can be at most 1/4-BPS, and have been derived in [8,9,10]. We are going to consider the t 3 model described by a cubic prepotential.…”

“…Without loss of generality one can restrict to a = 1 (as explained in [8]); from (3.17) e (3.18) we are left then with the system of 4 equations…”

“…These solution are purely magnetic: q 0 = q 1 = 0. We will first describe the 1/4 BPS solution found by [8] and [10], we then discuss the non-BPS solution generated by the procedure explained in Section 2.2. Finally we review the nonextremal generalization of the magnetic solution, already found in [11], and we comment on the product of the four areas.…”

“…The 1/4 BPS purely magnetic (q 0 = q 1 = 0) solutions found in [8] and [10] are described by these warp factors:…”

“…Given the lack of a regular extremal configurations, properties such as the entropy-area law have not been extensively studied, and no further investigations on the zero temperature configurations have been carried out. Only recently, in fact, it has been shown that it is possible to have genuinely finite horizon black holes if one reduces the supersymmetry preserved by the solution to be 1/4 of the original vacuum [8,9,10]. This now opens the possibility of getting important insights on the physics of black holes in gauged supergravity, such as the microstate structure of the entropy of extremal black holes.…”