Monopoles with Z /SUB n/ charges

This chapter considers a simply connected gauge group G, and assembles the Higgs fields into a scalar multiplet S, in some representation of G. The Higgs' vacuum expectation value breaks G to H, some subgroup of G. If the second homotopy group is non-trivial, there is a conserved charge. It is found that when SU(2) is broken to U(1), the charges are Z-type. When SU(2) is enlarged to G, there is more deformation freedom, so that configurations which were topologically inequivalent are transformed. Since there are two scales of symmetry breaking, there may be a monopole solution associated with each scale