The timelike half-supersymmetric backgrounds of N=2, D=4 supergravity with Fayet-Iliopoulos gauging

TL;DR

This paper classifies all timelike half-supersymmetric solutions in N=2, D=4 gauged supergravity with Fayet-Iliopoulos terms, revealing new near-horizon geometries of extremal rotating BPS black holes.

Contribution

It provides a complete characterization of solutions using spinorial geometry, including explicit examples and potential new black hole near-horizon geometries.

Findings

Complete set of solutions derived

Explicit examples with simple prepotential provided

Potential discovery of new extremal rotating BPS black hole horizons

Abstract

Subject to some relatively mild assumptions, we derive the complete form of all timelike half-supersymmetric solutions to N=2, D=4 gauged supergravity coupled to an arbitrary number of abelian vector multiplets. This is done using spinorial geometry techniques. Explicit examples are given for a simple prepotential. Among the solutions, there are near-horizon geometries of extremal rotating BPS black holes still to be discovered, with a nontrivial dependence of the scalar fields on one of the horizon coordinates.