2013/11/30 by Muneto Nitta · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Astrophysics and Cosmic Phenomena #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Domain wall (magnetism) #Geometry #Higgs boson #Instanton #Magnetic field #Magnetic monopole #Mathematical physics #Mathematics #Mechanics #Moduli space #Physics #Pure mathematics #Quantum mechanics #String (physics) #Vortex #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2014.05.032
published as Nucl.Phys.B885:493-504,2014 · 17 pages, 3 figures, v2: published version
openalex publication_date 2014/06/02 · arxiv created 2014/06/12 · arxiv updated 2014/06/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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, when 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 S1, S2 and S3 shapes, respectively, are all Yang–Mills instantons if their S1, S2 and S3 moduli, respectively, are twisted along their world-volumes.