Non-Abelian monopole-vortex complex

Abstract

In the context of softly broken N=2 supersymmetric quantum chromodynamics (SQCD), with a hierarchical gauge symmetry breaking SU(N+1) -> U(N) -> 1, at scales v1 and v2, respectively, where v1 >> v2, we construct monopole-vortex complex soliton-like solutions and examine their properties. They represent the minimum of the static energy under the constraint that the monopole and antimonopole positions sitting at the extremes of the vortex are kept fixed. They interpolate the 't Hooft-Polyakov-like regular monopole solution near the monopole centers and a vortex solution far from them and in between. The main result, obtained in the theory with Nf=N equal-mass flavors, is concerned with the existence of exact orientational CP(N-1) zero modes, arising from the exact color-flavor diagonal SU(N)_{C+F} global symmetry. The "unbroken" subgroup SU(N) \subset SU(N+1) with which the naïve notion of non-Abelian monopoles and the related difficulties were associated, is explicitly broken at low energies. The monopole transforms nevertheless according to the fundamental representation of a new exact, unbroken SU(N) symmetry group, as does the vortex attached to it. We argue that this explains the origin of the dual non-Abelian gauge symmetry.

Latex 24 pages, 9 figures; v2: minor typos were corrected and values for the numerical calculation were specified

References in corpus (11)

• Construction of Non-Abelian Walls and Their Complete Moduli Space
• Non-Abelian duality from vortex moduli: a dual model of color-confinement
• Constructing Non-Abelian Vortices with Arbitrary Gauge Groups
• Non-Abelian Vortices in SO(N) and USp(N) Gauge Theories
• Non-Abelian vortex dynamics: Effective world-sheet action
• Type I Non-Abelian Superconductors in Supersymmetric Gauge Theories
• Non-Abelian Vortices without Dynamical Abelianization
• Soliton Junctions in the Large Magnetic Flux Limit
• Zero-modes of Non-Abelian Solitons in Three Dimensional Gauge Theories
• Flux dualization in broken SU(2)
• Monopole-vortex complex in a theta vacuum

Cited by in corpus (12)

• Higgs-confinement phase transitions with fundamental representation matter
• Relations among topological solitons
• Coexisting Vortices and Antivortices Generated by Dually Gauged Harmonic Maps
• Topological Defects in the Georgi-Machacek Model
• Effective Action of Non-Abelian Monopole-Vortex Complex
• Large-N CP(N-1) sigma model on a finite interval: physical boundary effects
• BPS Boojums in N=2 supersymmetric gauge theories I
• A Simple Model for a Dual Non-Abelian Monopole-Vortex Complex
• Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories
• BPS Boojums in N=2 supersymmetric gauge theories II
• Confinement, NonAbelian monopoles, and 2D CP(N-1) model on the worldsheet of finite-length strings
• Non-Abelian confinement and the dual gauge symmetry: Many faces of flavor symmetry