
arXiv: 1311.2718
Yang-Mills instantons in a pure Yang-Mills theory in four Euclidean space can be promoted to particle-like topological solitons in d=4+1 dimensional space-time. When coupled to Higgs fields, they transform themselves in the Higgs phase into Skyrmions, lumps and sine-Gordon kinks, with trapped inside a non-Abelian domain wall, non-Abelian vortex and monopole string, respectively. Here, we point out that a closed monopole string, non-Abelian vortex sheet and non-Abelian domain wall in $S^1$, $S^2$ and $S^3$ shapes, respectively, are all Yang-Mills instantons if their $S^1$, $S^2$ and $S^3$ moduli, respectively, are twisted along their world-volumes.
17 pages, 3 figures, v2: published version
High Energy Physics - Theory, Nuclear and High Energy Physics, NLS equations (nonlinear Schrödinger equations), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Nuclear physics, FOS: Physical sciences, Yang-Mills and other gauge theories in quantum field theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Soliton solutions, Kaluza-Klein and other higher-dimensional theories
High Energy Physics - Theory, Nuclear and High Energy Physics, NLS equations (nonlinear Schrödinger equations), Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory), Nuclear physics, FOS: Physical sciences, Yang-Mills and other gauge theories in quantum field theory, High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), High Energy Physics - Theory (hep-th), Soliton solutions, Kaluza-Klein and other higher-dimensional theories
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