Incarnations of Instantons

Abstract

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

References in corpus (27)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Stationary ring solitons in field theory - knots and vortons
• All Exact Solutions of a 1/4 Bogomol'nyi-Prasad-Sommerfield Equation
• Instantons in the Higgs Phase
• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian Walls in Supersymmetric Gauge Theories
• Universal Reconnection of Non-Abelian Cosmic Strings
• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• D-brane Construction for Non-Abelian Walls
• Skyrmions from Instantons inside Domain Walls
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• Josephson vortices and the Atiyah-Manton construction
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
• Matryoshka Skyrmions
• Domain Walls with Non-Abelian Clouds
• The dynamics of domain wall Skyrmions
• Intersecting Solitons, Amoeba and Tropical Geometry
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• Non-Abelian Monopoles in the Higgs Phase
• Higher Derivative Corrections to Non-Abelian Vortex Effective Theory
• Baryonic sphere: a spherical domain wall carrying baryon number
• Defect formation from defect--anti-defect annihilations
• Instantons confined by monopole strings
• Knots from wall--anti-wall annihilations with stretched strings
• Dynamical Compactification and Inflation in Einstein-Yang-Mills Theory with Higher Derivative Coupling
• Exact Solutions of Einstein-Yang-Mills Theory with Higher-Derivative Coupling

Cited by in corpus (10)

• Incarnations of Skyrmions
• Non-Abelian Sine-Gordon Solitons
• Fractional instantons and bions in the O(N) model with twisted boundary conditions
• Relations among topological solitons
• Domain Wall Skyrmions in Chiral Magnets
• Baryonic sphere: a spherical domain wall carrying baryon number
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Josephson instantons and Josephson monopoles in a non-Abelian Josephson junction
• Topological Soliton with Nonzero Hopf Invariant in Yang-Mills-Higgs Model
• A Unified Construction of Skyrme-type Non-linear sigma Models via The Higher Dimensional Landau Models