AdS 5 black holes with fermionic hair

The study of new Bogomol'nyi-Prasad-Sommerfield (BPS) objects in ${\mathrm{AdS}}_{5}$ has led to a deeper understanding of AdS/CFT. To help complete this picture, and to fully explore the consequences of the supersymmetry algebra, it is also important to obtain new solutions with bulk fermions turned on. In this paper we construct superpartners of the $1/2$ BPS black hole in ${\mathrm{AdS}}_{5}$ using a natural set of fermion zero modes. We demonstrate that these superpartners, carrying fermionic hair, have conserved charges differing from the original bosonic counterpart. To do so, we find the $R$-charge and dipole moment of the new system, as well as the mass and angular momentum, defined through the boundary stress tensor. The complete set of superpartners fits nicely into a chiral representation of ${\mathrm{AdS}}_{5}$ supersymmetry, and the spinning solutions have the expected gyromagnetic ratio, $g=1$.