Monopole-vortex complex at large distances and nonAbelian duality

We discuss the large-distance approximation of the monopole-vortex complex soliton in a hierarchically broken gauge system, SU(N + 1)→ SU(N)×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