Hairy Black Holes and Duality in an Extended Supergravity Model

Understand

We consider a $D=4$, $\mathcal{N}=2$ gauged supergravity with an electromagentic Fayet-Iliopoulos term.

• We restrict to the uncharged, single dilaton consistent truncation and point out that the bulk Lagrangian is self-dual under electromagnetic duality.
• Within this truncation, we construct two families of exact hairy black hole solutions, which are asymptotically $AdS_4$.
• When a duality transformation is applied on these solutions, they are mapped to two other inequivalent families of hairy black hole solutions.