Gravitating Yang-Mills vortices in 4+1 spacetime dimensions

TL;DR

This paper explores how gravity affects Yang-Mills solutions in 5-dimensional spacetime, showing particles are destroyed while vortices can form complex gravitating structures with potential relevance to AdS/CFT and brane worlds.

Contribution

It introduces the first analysis of gravitating Yang-Mills vortices in 5D, revealing their rich spectrum and contrasting behavior with particle solutions under gravity.

Findings

Particles are destroyed by gravity in 5D.

Vortices admit a variety of gravitating solutions.

Potential implications for AdS/CFT and brane world models.

Abstract

The coupling to gravity in D=5 spacetime dimensions is considered for the particle-like and vortex-type solutions obtained by uplifting the D=4 Yang-Mills instantons and D=3 Yang-Mills-Higgs monopoles. It turns out that the particles become completely destroyed by gravity, while the vortices admit a rich spectrum of gravitating generalizations. Such vortex defects may be interesting in view of the AdS/CFT correspondence or in the context of the brane world scenario.