Self-Duality Equations on S^6 from R^7 monopole

Details Self-Duality Equations on S^6 from R^7 monopole Self-Duality Equations on S^6 from R^7 monopole

2009-06-25

arxiv.org/abs/0906.4610v2

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, typo corrected, references added

Scientific paper

In this note we identify a correspondence between a seven-dimensional monopole configuration of the Yang-Mills-Higgs system and the generalized self-dual configuration of the Yang-Mills system on a six-dimensional sphere. In particular, the topological charge of the self-duality configurations belongs to the sixth homotopy group of the coset G/H associated with the symmetry breaking G -> H induced by a non-trivial Higgs configuration in seven-dimensions.

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