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

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