Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-09-20
J.Phys.A44:343001,2011
Physics
High Energy Physics
High Energy Physics - Theory
50 pages, no figures. Revised and extended final version
Scientific paper
10.1088/1751-8113/44/34/343001
We review work on construction of Monopoles in higher dimensions. These are solutions to a particular class of models descending from Yang--Mills systems on even dimensional bulk, with Spheres as codimensions. The topological lower bounds on the Yang-Mills action translate to Bogomol'nyi lower bounds on the residual Yang-Mills-Higgs systems. Mostly, consideration is restricted to 8 dimensional bulk systems, but extension to the arbitrary case follows systematically. After presenting the monopoles, the corresponding dyons are also constructed. Finally, new Chern-Simons densities expressed in terms of Yang-Mills and Higgs fields are presented. These are defined in all dimensions, including in even dimensional spacetimes. They are constructed by subjecting the dimensionally reduced Chern-Pontryagin densites to further descent by two steps.
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