Dimensional reduction of BPS attractors in AdS gauged supergravities

Understand

We relate across dimensions BPS attractors of black strings and black holes of various topology in gauged supergravities with nontrivial scalar potential.

• The attractors are of the form AdS$_{2, 3} \times \Sigma^{2, 3}$ in 4, 5, and 6 dimensions, and can be generalized to some higher dimensional analogs.
• Even though the attractor geometries admit standard Kaluza-Klein and Scherk-Schwarz reductions, their asymptotic AdS spaces in general do not.
• The resulting lower dimensional objects are black holes with runaway asymptotics in supergravity theories with no maximally symmetric vacua.