AdS_5 Black Holes with Fermionic Hair

TL;DR

This paper constructs fermionic hair solutions for AdS_5 black holes, revealing new superpartners with distinct conserved charges and confirming their consistency within supersymmetry, thus enriching the understanding of AdS/CFT correspondence.

Contribution

It introduces fermionic superpartners of AdS_5 black holes, demonstrating their conserved charges and supersymmetric properties, a novel addition to black hole solutions with fermionic hair.

Findings

Superpartners carry different conserved charges from original black holes.

Fermionic hair solutions fit into AdS_5 supersymmetry representations.

Spinning solutions exhibit gyromagnetic ratio g=1.

Abstract

The study of new BPS objects in 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 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 AdS_5 supersymmetry, and the spinning solutions have the expected gyromagnetic ratio, g=1.