Maximally Minimal Preons in Four Dimensions

TL;DR

This paper investigates the existence of maximally minimal preons in four-dimensional N=2 supergravity using spinorial geometry, concluding that solutions preserving exactly 3/4 of supersymmetry do not exist.

Contribution

It applies the spinorial geometry method to analyze supersymmetric solutions in N=2, D=4 supergravity and extends techniques from type IIB supergravity to this context.

Findings

No simply connected solutions preserve exactly 3/4 supersymmetry

Utilizes differential form representation of spinors

Adapts methods from type IIB supergravity analysis

Abstract

Killing spinors of N=2, D=4 supergravity are examined using the spinorial geometry method, in which spinors are written as differential forms. By making use of methods developed in hep-th/0606049 to analyze preons in type IIB supergravity, we show that there are no simply connected solutions preserving exactly 3/4 of the supersymmetry.