A Simple Model for a Dual Non-Abelian Monopole-Vortex Complex

Abstract

We investigate the flux-tube joining two equal and opposite electric charges using the dual Ginzburg-Landau model of superconductivity. The model is supplemented with an additional scalar field carrying a non-Abelian global symmetry, broken in the vortex cores. The presence of orientational moduli makes the flux tube non-Abelian. We perform a detailed study of the low energy theory of this soliton. We also analyze the solution representing superconducting droplets in the presence of the monopole anti - monopole pair.

16 pages, 7 figures

References in corpus (6)

• Low energy dynamics of $U(1)$ vortices in systems with cholesteric vacuum structure
• Multi-Skyrmions with orientational moduli
• Monopole-vortex complex at large distances and nonAbelian duality
• 't Hooft-Polyakov Monopoles with Non-Abelian Moduli
• Stabilisation of semilocal strings by dark scalar condensates
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