Vortices and monopoles in a harmonic trap
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Publication:2636292
DOI10.1007/JHEP12(2015)098zbMATH Open1388.81894arXiv1508.01207OpenAlexW3104142799MaRDI QIDQ2636292
Author name not available (Why is that?)
Publication date: 31 May 2018
Published in: (Search for Journal in Brave)
Abstract: The Omega-deformation is a harmonic trap, penning certain excitations near the origin in a manner consistent with supersymmetry. Here we explore the dynamics of BPS monopoles and vortices in such a trap. We pay particular attention to monopoles in the Higgs phase, when they are confined to a vortex string. Unusually for BPS solitons, the mass of these confined monopoles is quadratic in the topological charges. We compute an index theorem to determine the number of collective coordinates of confined monopoles. Despite being restricted to move on a line, we find that they have a rich dynamics. As the strength of the trap increases, the number of collective coordinates can change, sometimes with constituent monopoles disappearing, sometimes with new ones emerging.
Full work available at URL: https://arxiv.org/abs/1508.01207
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