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We review work on construction of Monopoles in higher dimensions. These aresolutions to a particular class of models descending from Yang--Mills systemson even dimensional bulk, with Spheres as codimensions. The topological lowerbounds on the Yang-Mills action translate to Bogomol'nyi lower bounds on theresidual Yang-Mills-Higgs systems. Mostly, consideration is restricted to 8dimensional bulk systems, but extension to the arbitrary case followssystematically. After presenting the monopoles, the corresponding dyons arealso constructed. Finally, new Chern-Simons densities expressed in terms ofYang-Mills and Higgs fields are presented. These are defined in all dimensions,including in even dimensional spacetimes. They are constructed by subjectingthe dimensionally reduced Chern-Pontryagin densites to further descent by twosteps.

journal of physics. a, mathematical and theoretical

Notes on Yang-Mills--Higgs monopoles and dyons on R^D, and  Chern-Simons--Higgs solitons on \R^{D-2}: Dimensional reduction of  Chern-Pontryagin densities