Instantons in the Higgs phase

2004/12/31 by Minoru Eto, Youichi Isozumi, Muneto Nitta +2 · 24 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1103/physrevd.72.025011

published as Phys.Rev. D72 (2005) 025011 · 32 pages, 6 figures, typos corrected, comments and references added

arxiv created 2005/04/25 · openalex publication_date 2005/07/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

When instantons are put into the Higgs phase, vortices are attached to instantons. We construct such composite solitons as 1/4 BPS states in five-dimensional supersymmetric U(N_C) gauge theory with N_F(\ensuremath≥N_C) fundamental hypermultiplets. We solve the hypermultiplet BPS equation and show that all 1/4 BPS solutions are generated by an N_C\ifmmode×\else\texttimes\fiN_F matrix which is holomorphic in two complex variables, assuming the vector multiplet BPS equation does not give additional moduli. We determine the total moduli space formed by topological sectors patched together and work out the multi-instanton solution inside a single vortex with complete moduli. Small instanton singularities are interpreted as small sigma-model lump singularities inside the vortex. The relation between monopoles and instantons in the Higgs phase is also clarified as limits of calorons in the Higgs phase. Another type of instantons stuck at an intersection of two vortices and dyonic instantons in the Higgs phase are also discussed.

Citations

• Construction of instantons
• Construction of Non-Abelian Walls and their Complete Moduli Space
• QCD and instantons at finite temperature
• Comments on Nonlinear Wave Equations as Models for Elementary Particles
• Global structure of moduli space for BPS walls
• Non-Abelian walls in supersymmetric gauge theories
• All exact solutions of a1/4Bogomol’nyi-Prasad-Sommerfield equation
• Branes within Branes

Cited by

• Holographic QCD Matter: Chiral Soliton Lattices in Strong Magnetic Field
• Massless monopole-string-domain wall fermions and polyhedral vacuum fermions
• Effective Action of Non-Abelian Monopole-Vortex Complex
• On the moduli space of semilocal strings and lumps
• Static interactions of non-Abelian vortices
• Non-Abelian vortices on a cylinder: Duality between vortices and walls
• Nonintegrability of self-dual Yang–Mills–Higgs system
• Walls of massive Kähler sigma models onSO(2N)/U(N)andSp(N)/U(N)
• Gauge symmetry breaking in ten-dimensional Yang-Mills theory dynamically compactified onS6
• BPS objects inN=2supersymmetric gauge theories
• NON-ABELIAN VORTEX-STRING DYNAMICS FROM NONLINEAR REALIZATION
• D-brane construction for non-Abelian walls
• Non-Abelian vortices with product moduli
• Studying boojums inN=2theory with walls and vortices
• Brane necklaces and brane coils
• Non-Abelian sine-Gordon solitons
• Effective world-sheet theory of color magnetic flux tubes in dense QCD
• Incarnations of instantons
• Josephson junction of non-Abelian superconductors and non-Abelian Josephson vortices
• Non-Abelian sine-Gordon solitons: Correspondence betweenSU(N)Skyrmions andCPN−1lumps
• SOLITONS IN SUPERSYMMETRIC GAUGE THEORIES: MODULI MATRIX APPROACH
• Resurgence structure to all orders of multi-bions in deformed SUSY quantum mechanics
• Sine-Gordon kinks on a domain wall ring
• Topological order in the color-flavor locked phase of a (3+1)-dimensional U(N) gauge-Higgs system

Related

• Counting BPS Solitons and Applications
• Instantons, Monopoles, Strings and Fivebranes
• Non-Abelian Walls and Vortices in Supersymmetric Theories
• Instantonic string solitons on M5 branes
• On Instantons in Holographic QCD