Abstract
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 afinite-width worldstrip.
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Chatterjee, C., Konishi, K. Monopole-vortex complex at large distances and nonAbelian duality. J. High Energ. Phys. 2014, 39 (2014). https://doi.org/10.1007/JHEP09(2014)039
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DOI: https://doi.org/10.1007/JHEP09(2014)039