# Geometry of four-dimensional Killing spinors

## TL;DR

This paper classifies supersymmetric solutions in four-dimensional N=2 supergravity, deriving complete forms under certain assumptions and discovering new solutions like gravitational waves on bubbles of nothing in AdS_4.

## Contribution

It provides a complete classification of supersymmetric solutions in N=2, D=4 supergravity under specific conditions, including new solutions not previously known.

## Key findings

- Complete form of all supersymmetric solutions derived
- Discovery of new 1/4- and 1/2-supersymmetric solutions
- Identification of gravitational waves on bubbles of nothing in AdS_4

## Abstract

The supersymmetric solutions of N=2, D=4 minimal ungauged and gauged supergravity are classified according to the fraction of preserved supersymmetry using spinorial geometry techniques. Subject to a reasonable assumption in the 1/2-supersymmetric time-like case of the gauged theory, we derive the complete form of all supersymmetric solutions. This includes a number of new 1/4- and 1/2-supersymmetric possibilities, like gravitational waves on bubbles of nothing in AdS_4.