# On timelike supersymmetric solutions of Abelian gauged 5-dimensional supergravity

## TL;DR

This paper finds new supersymmetric solutions in 5D gauged supergravity with Abelian vector multiplets, generalizing known black hole solutions and including various geometries with multiple parameters.

## Contribution

It introduces several new supersymmetric solutions with an isometry in 5D gauged supergravity, extending previous minimal supergravity solutions to models with multiple vector multiplets.

## Key findings

- Discovered solutions with n_v+2 parameters including electric charges and angular momentum.
- Generalized known asymptotically-AdS_5 black holes and near horizon geometries.
- Included static singular solutions and solutions with non-compact horizons.

## Abstract

We consider 5-dimensional gauged supergravity coupled to Abelian vector multiplets, and we look for supersymmetric solutions for which the 4-dimensional K\"ahler base space admits a holomorphic isometry. Taking advantage of this isometry, we are able to find several supersymmetric solutions for the ST$[2,n_v+1]$ special geometric model with arbitrarily many vector multiplets. Among these there are three families of solutions with $n_v+2$ independent parameters, which for one of the families can be seen to correspond to $n_v+1$ electric charges and one angular momentum. These solutions generalize the ones recently found for minimal gauged supergravity in JHEP 1704 (2017) 017 and include in particular the general supersymmetric asymptotically-AdS$_5$ black holes of Gutowski and Reall, analogous black hole solutions with non-compact horizon, the three near horizon geometries themselves, and the singular static solutions of Behrndt, Chamseddine and Sabra.