The return of the four- and five-dimensional preons

TL;DR

This paper demonstrates the existence of specific supersymmetric solutions called 3/4-BPS preons in four- and five-dimensional gauged supergravities by constructing them as smooth quotients of maximally supersymmetric AdS backgrounds, showing topology's role in supersymmetry.

Contribution

It provides explicit constructions of 3/4-BPS preons as smooth quotients, revealing how topology can restore supersymmetry fractions previously considered impossible.

Findings

Existence of 3/4-BPS preons in 4D and 5D gauged supergravities.

Construction of these preons as smooth quotients of AdS backgrounds.

Topology influences supersymmetry preservation.

Abstract

We prove the existence of 3/4-BPS preons in four- and five-dimensional gauged supergravities by explicitly constructing them as smooth quotients of the AdS_4 and AdS_5 maximally supersymmetric backgrounds, respectively. This result illustrates how the spacetime topology resurrects a fraction of supersymmetry previously ruled out by the local analysis of the Killing spinor equations.