Topological Solitons Seminar: Integrability of vortex-like solitons
25 January 2017 13:00 in CM221
This talk will have two parts. First, I will present a modified version of the Ginzburg-Landau energy functional admitting static solitons and determine all the Painlevé integrable cases of its Bogomolny equations of a given class of models. These solitons can be interpreted as the usual Abelian-Higgs vortices on surfaces of non-constant curvature with conical singularity. In the second part I will introduce a list of 5 different types of vortices studied in the literature and show how they can be derived as symmetry reductions of self-dual Yang-Mills equations, which will prove their integrability on suitable backgrounds.
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