Vortices

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2006-11-02

arxiv.org/abs/hep-th/0611028v1

Physics

High Energy Physics

High Energy Physics - Theory

60 pages, Lectures given at the ``4th Chilean School of Astrophysics, Cosmology and Gravitation" Valparaiso, October 2006

Scientific paper

I discuss in these lectures vortex-like classical solutions to the equations of motion of gauge theories with spontaneous symmetry breaking. Starting from the Nielsen-Olesen ansatz for the Abelian Higgs model, extensions to the case in which gauge dynamics is governed by Yang-Mills and Chern-Simons actions are presented. The case of semilocal vortices and also the coupling to axions is analyzed. Finally, the connection between supersymmetry and the existence of first order BPS equations in such models is described.

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