Static BPS black holes in U(1) gauged supergravity

TL;DR

This paper derives explicit solutions for 1/4-BPS static black holes in AdS4 within gauged supergravity, showing that all regular attractors can be extended to full black hole solutions with various scalar and charge configurations.

Contribution

It provides a simplified form of flow equations using special geometry identities and explicitly constructs black hole solutions for arbitrary gaugings and charges.

Findings

Explicit solutions for black holes with arbitrary gauging and charges.

All regular attractors can be extended to full solutions.

Examples within the STU model demonstrate the solutions.

Abstract

We consider the flow equations for $1/4$-BPS asymptotically AdS$_4$ static black holes in Fayet-Iliopoulos gauged supergravity, using very special geometry identities to obtain a simplified form in the most general case. Under mild assumptions on the form of the solution, we analyse the flow equations and find an explicit solution for arbitrary gauging and charge vectors within the chosen ansatz. Comparing with the corresponding attractor equations, we find that the solution is given in terms of exactly the same vector of parameters, implying that all regular attractors can be extended to full black hole solutions. We present explicit examples of black hole solutions with all complex scalars and charges allowed by the ansatz turned on, within the STU model and its truncations.