A Simple Model for a Dual Non-Abelian Monopole-Vortex Complex
Gianni Tallarita, Adam Peterson
TL;DR
This paper introduces a simplified dual non-Abelian monopole-vortex model incorporating a scalar field with non-Abelian symmetry, analyzing flux tubes and superconducting droplets with orientational moduli.
Contribution
It presents a novel, simplified model for non-Abelian monopole-vortex complexes with detailed low-energy and droplet solutions.
Findings
Flux tubes exhibit non-Abelian orientational moduli.
Superconducting droplet solutions are characterized in the presence of monopole pairs.
The model captures key features of non-Abelian flux configurations.
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.
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