Embedded Monopoles

Using the embedded defect method, we classify the possible embeddings of a 't Hooft-Polyakov monopole in a general gauge theory. We then discuss some similarities with embedded vortices and relate our results to fundamental monopoles.Comment: 6 pages, LaTe

Gauge Interactions in the Dual Standard Model

We present a geometric argument for the transformation properties of SU(5) --> S(U(3) x U(2)) monopoles under the residual gauge symmetry. This strongly supports the proposal that monopoles of the dual standard model interact via a gauge theory of the standard model symmetry group, with the monopoles having the same spectrum as the standard model fermions.Comment: 4 pages. two column style. LaTe

Vacuum Geometry

We analyse symmetry breaking in general gauge theories paying particular attention to the underlying geometry of the theory. In this context we find two natural metrics upon the vacuum manifold: a Euclidean metric associated with the scalar sector, and another generally inequivalent metric associated with the gauge sector. Physically, the interplay between these metrics gives rise to many of the non-perturbative features of symmetry breaking.Comment: 20 pages. no figure

Some Simpler Analogues of the Dual Standard Model and their Relation to Bais' Generalisation of the Montenon-Olive Conjecture

We show that the correspondence between SU(5) monopoles and the elementary particles, which underlies the construction of a dual standard model, has some simpler analogues associated with the strong, weak and hypercharge interactions. We then discuss how these analogues relate to Bais' generalization of the Montenon-Olive conjecture and find the representations of the monopoles under the dual gauge group; these representations agree with those of the elementary particles.Comment: 4 pages, LaTe

Asymptotically embedded defects

For many cases, the conditions to fully embed a classical solution of one field theory within a larger theory cannot be met. Instead, we find it useful to embed only the solution's asymptotic fields as this relaxes the embedding constraints. Such asymptotically embedded defects have a simple classification that can be used to construct classical solutions in general field theories.Comment: 6 pages, LaTe