Rotating attractors and BPS black holes in $AdS_4$

Understand

We analyze stationary BPS black hole solutions to 4d $\mathcal{N}=2$ abelian gauged supergravity.

• Using an appropriate near horizon ansatz, we construct rotating attractors with magnetic flux realizing a topological twist along the horizon surface, for any theory with a symmetric scalar manifold.
• An analytic flow to asymptotically locally $AdS_4$ is presented for a subclass of these near horizon geometries, and an explicit new example of supersymmetric $AdS_4$ rotating black hole is discussed in detail.
• We further note that, upon tuning the gauging to special values, one can obtain solutions with different asymptotics, and in particular reductions of doubly spinning asymptotically $AdS_5$ black holes.