163 research outputs found
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
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
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