Static BPS 'monopoles' in all even spacetime dimensions

TL;DR

This paper introduces two families of SO(2n) Higgs models in 2n dimensions, deriving one from higher-dimensional Yang-Mills theories and constructing the other ad hoc, both supporting BPS monopole solutions.

Contribution

It presents new SO(2n) Higgs models in all even dimensions, including a dimensional reduction approach and an ad hoc construction, both supporting BPS monopoles.

Findings

All models support BPS monopole solutions.

Dimensionally descended models have BPS dyons.

Ad hoc models' electrically charged solutions are not BPS.

Abstract

Two families of SO(2n) Higgs models in $2n$ dimensional spacetime are presented. One family arises from the {\it dimensional reduction} of higher dimensional Yang-Mills systems while the construction of the other one is {\it ad hoc}, the $n=2$ member of each family coinciding with the usual SU(2) Yang-Mills--Higgs system without Higgs potential. All models support BPS 'monopole' solutions. The 'dyons' of the {\it dimensionally descended} models are also BPS, while the electrically charged solutions of the {\it ad hoc} models are not BPS.