Exact regular ZN monopoles solution in gauge theories with non-adjoint Higgs representations

Abstract

In this paper we give a construction of exact regular Z N monopole solutions in spontaneously broken gauge theories. These monopolos occur when a gauge group G is broken down to some multiply connected subgroup H. For finite N this can in general only be achieved by a Higgs field that does not transform under the adjoint representation of G. This implies that the usual construction of the Bogomolny equations breaks down. We show however that exact regular Z N monopoles can be constructed as solutions to the Bogomolny equations of a suitably chosen subgroup G . Various classes of models are analysed explicity.