Solutions of Minimal Four Dimensional de Sitter Supergravity

TL;DR

This paper classifies pseudo-supersymmetric solutions in minimal four-dimensional de Sitter supergravity, revealing three distinct classes including fibrations, cosmological solutions, and gravitational waves, using spinorial geometry techniques.

Contribution

It provides a complete classification of solutions in minimal four-dimensional de Sitter supergravity, identifying three new classes of geometries and solutions.

Findings

Identified three classes of solutions: fibrations over Gauduchon-Tod structures, cosmological Majumdar-Papapetrou solutions, and gravitational waves in Nariai cosmology.

Used spinorial geometry techniques for classification.

Expanded understanding of pseudo-supersymmetric geometries in de Sitter supergravity.

Abstract

Pseudo-supersymmetric solutions of minimal $N=2$, $D=4$ de Sitter supergravity are classified using spinorial geometry techniques. We find three classes of solutions. The first class of solution consists of geometries which are fibrations over a 3-dimensional manifold equipped with a Gauduchon-Tod structure. The second class of solution is the cosmological Majumdar-Papapetrou solution of Kastor and Traschen, and the third corresponds to gravitational waves propagating in the Nariai cosmology.