Fundamental monopoles and multimonopole solutions for arbitrary simple gauge groups
Abstract
Magnetic monopole solutions for an arbitrary compact simple gauge group are considered in the PrasadSommerfield limit. For each group and choice of symmetry breaking there is a set of fundamental monopoles with minimal topological charges and possessing no internal degrees of freedom; the number of these is less than or equal to the rank of the gauge group. It is shown that if the unbroken gauge group is abelian, all solutions with higher topological charges belong to pparameter families, where p is the number of position and group orientation parameters needed to describe a set of noninteracting fundamental monopoles with the given topological charge. It is argued that these solutions, some examples of which are given, should therefore be interpreted as multimonopole configurations. An extension of these results to the case of a nonalbelian unbroken gauge symmetry is conjecture and shown to be valid for a number of examples.
 Publication:

Nuclear Physics B
 Pub Date:
 May 1980
 DOI:
 10.1016/05503213(80)90245X
 Bibcode:
 1980NuPhB.167..500W