Monopole-vortex complex at large distances and nonAbelian duality

Abstract

We discuss the large-distance approximation of the monopole-vortex complex soliton in a hierarchically broken gauge system, SU(N+1) - > SU(N) x U(1) - > 1, in a color-flavor locked SU(N) symmetric vacuum. The ('t Hooft-Polyakov) monopole of the higher-mass-scale breaking appears as a point and acts as a source of the thin vortex generated by the lower-energy gauge symmetry breaking. The exact color-flavor diagonal symmetry of the bulk system is broken by each individual soliton, leading to nonAbelian orientational CP^{N-1} zeromodes propagating in the vortex worldsheet, well studied in the literature. But since the vortex ends at the monopoles these fluctuating modes endow the monopoles with a local SU(N) charge. This phenomenon is studied by performing the duality transformation in the presence of the CP^{N-1} moduli space. The effective action is a CP^{N-1} model defined on a finite-width worldstrip.

36 pages, 4 figures

References in corpus (38)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Electric-Magnetic Duality in Supersymmetric Non-Abelian Gauge Theories
• Simple Singularities and N=2 Supersymmetric Yang-Mills Theory
• New N=2 Superconformal Field Theories in Four Dimensions
• The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge Theory
• Vortices, Instantons and Branes
• Nonabelian Superconductors: Vortices and Confinement in $\mathcal{N}=2$ SQCD
• The Moduli Space of N=2 SUSY QCD and Duality in N=1 SUSY QCD
• Vortex Strings and Four-Dimensional Gauge Dynamics
• The Coulomb Phase of N=2 Supersymmetric QCD
• S-duality in N=2 supersymmetric gauge theories
• On the Quantum Moduli Space of Vacua of $N=2$ Supersymmetric $SU(N_c)$ Gauge Theories
• Nonperturbative Effective Actions of N=2 Supersymmetric Gauge Theories
• The Vacuum Structure of N=2 SuperQCD with Classical Gauge Groups
• Study of $N=2$ Superconformal Field Theories in $4$ Dimensions
• On the Quantum Moduli Space of N=2 Supersymmetric Gauge Theories
• Nonabelian Monopoles and the Vortices that Confine Them
• Dynamical Symmetry Breaking in Supersymmetric SU(n_c) and USp(2n_c) Gauge Theories
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• Comments on scaling limits of 4d N=2 theories
• N=2 Moduli Spaces and N=1 Dualities for SO(n_c) and USp(2n_c) SuperQCD
• Nonvanishing quantum corrections to the mass and central charge of the N=2 vortex and BPS saturation
• Non-Abelian vortices and monopoles in SO(N) theories
• Vortices and Monopoles in Mass-deformed SO and USp Gauge Theories
• Vacuum Structure and Flavor Symmetry Breaking in Supersymmetric SO(n_c) Gauge Theories
• Non-Abelian Monopoles in the Higgs Phase
• Non-Abelian vortex dynamics: Effective world-sheet action
• CP, Charge Fractionalizations and Low Energy Effective Actions in the SU(2) Seiberg-Witten Theories with Quarks
• Nonabelian Faddeev-Niemi Decomposition of the SU(3) Yang-Mills Theory
• Quantum Mass and Central Charge of Supersymmetric Monopoles - Anomalies, current renormalization, and surface terms
• Singular points in N=2 SQCD
• Type I Non-Abelian Superconductors in Supersymmetric Gauge Theories
• Confining vacua in SQCD, the Konishi anomaly and the Dijkgraaf-Vafa superpotential
• BPS saturation of the N=4 monopole by infinite composite-operator renormalization
• New Confinement Phases from Singular SCFT
• Degeneracy between Abelian and Non-Abelian Strings
• Flux dualization in broken SU(2)

Cited by in corpus (12)

• Relations among topological solitons
• Large-N CP(N-1) sigma model on a finite interval and the renormalized string energy
• CP(N) sigma model on a finite interval revisited
• Topological Defects in the Georgi-Machacek Model
• Large-$N$ ${\mathbb{CP}}^{N-1}$ sigma model on a finite interval: general Dirichlet boundary conditions
• Self-consistent Analytic Solutions in Twisted $\mathbb{C}{P}^{N-1}$ Model in the Large-$N$ Limit
• Center vortices as composites of monopole fluxes
• Dual formulations of vortex strings in supersymmetric Abelian Higgs model
• A Simple Model for a Dual Non-Abelian Monopole-Vortex Complex
• Dyonic non-Abelian vortex strings in supersymmetric and non-supersymmetric theories: tensions and higher derivative corrections
• Confinement, NonAbelian monopoles, and 2D CP(N-1) model on the worldsheet of finite-length strings
• Monopole-center vortex chains in $SU(2)$ gauge theory