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This monograph discusses specific examples of selfdual gauge field structures, including the ChernSimons model, the abelianHiggs model, and YangMills gauge field theory. The author builds a foundation for gauge theory and selfdual vortices by introducing the basic mathematical language of gauge theory and formulating examples of ChernSimonsHiggs theories (in both abelian and nonabelian settings). Thereafter, the Electroweak theory and selfgravitating Electroweak strings are examined. The final chapters treat elliptic problems involving ChernSimmons models, concentrationcompactness principles, and MaxwellChernSimons vortices.
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