Ej. Weinberg et Pj. Yi, EXPLICIT MULTIMONOPOLE SOLUTIONS IN SU(N) GAUGE-THEORY - ART. NO. 046001, Physical review. D. Particles and fields, 5804(4), 1998, pp. 6001
We construct multimonopole solutions containing N - 1 distinct fundame
ntal monopoles in SU(N) gauge theory. When the gauge symmetry is spont
aneously broken to U(1)(N-1), the monopoles are all massive, and we sh
ow that the fields can be written in terms of elementary function for
all Values of the monopole positions and phases. In the limit of unbro
ken U(1) x SU(N- 2) x U(1) symmetry, the configuration can be viewed a
s containing a pair of massive monopoles, each carrying both U(1) and
SU(N- 2) magnetic charges, together with N - 3 massless monopoles that
condense into a cloud of non-Abelian fields. We obtain explicit expre
ssions for the fields in the latter case and use these to analyze the
properties of the non-Abelian cloud.