SU(5) monopoles and non-abelian black holes

TL;DR

This paper constructs and analyzes SU(5) monopoles and non-abelian black holes in various space geometries, revealing how gravity influences monopole interactions and confirming similarities with SU(2) cases.

Contribution

It extends the study of monopoles and black holes from SU(2) to SU(5), exploring their properties in flat and curved spaces and under different coupling conditions.

Findings

Flat space monopoles are non-interacting or repelling.

Gravity can overcome monopole repulsion in curved space.

Qualitative features of SU(2) monopoles are present in SU(5).

Abstract

We construct spherically and axially symmetric monopoles in SU(5) Yang-Mills-Higgs theory both in flat and curved space as well as spherical and axial non-abelian, ''hairy'' black holes. We find that in analogy to the SU(2) case, the flat space monopoles are either non-interacting (in the BPS limit) or repelling. In curved space, however, gravity is able to overcome the repulsion for suitable choices of the Higgs coupling constants and the gravitational coupling. In addition, we confirm that indeed all qualitative features of (gravitating) SU(2) monopoles are found as well in the SU(5) case. For the non-abelian black holes, we compare the behaviour of the solutions in the BPS limit with that for non-vanishing Higgs self-coupling constants.