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Topological Solitons from DeConstructed Extra Dimensions

Christopher T. Hill
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Abstract

A topological monopole-like field configuration exists for Yang-Mills gauge fields in a 4+1 dimensions. When the extra dimension is compactified to 3+1 dimensions with periodic lattice boundary conditions, these objects reappear in the low energy effective theory as a novel solution, a gauged-bosonic Skyrmion. When the low energy theory spontaneously breaks, the Nambu-Goldstone mode develops a VEV, and the gauged-bosonic Skyrmion morphs into a `t Hooft--Polyakov monopole.

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Christopher T. Hill. 2001-12-04. Topological Solitons from DeConstructed Extra Dimensions. https://doi.org/10.1103/physrevlett.88.041601

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