Non-Abelian vortices with an Aharonov-Bohm effect

Jarah Evslin, Kenichi Konishi, Muneto Nitta, Keisuke Ohashi, Walter Vinci

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8 Citations (Scopus)


The interplay of gauge dynamics and flavor symmetries often leads to remarkably subtle phenomena in the presence of soliton configurations. Non-Abelian vortices - vortex solutions with continuous internal orientational moduli - provide an example. Here we study the effect of weakly gauging a U(1) R subgroup of the flavor symmetry on such BPS vortex solutions. Our prototypical setting consists of an SU(2) × U(1) gauge theory with N f = 2 sets of fundamental scalars that break the gauge symmetry to an "electromagnetic" U(1). The weak U(1) R gauging converts the well-known CP 1 orientation modulus |B| of the non-Abelian vortex into a parameter characterizing the strength of the magnetic field that is responsible for the Aharonov-Bohm effect. As the phase of B remains a genuine zero mode while the electromagnetic gauge symmetry is Higgsed in the interior of the vortex, these solutions are superconducting strings.

Original languageEnglish
Article number86
JournalJournal of High Energy Physics
Issue number1
Publication statusPublished - 2014 Jan


  • Duality in Gauge Field Theories
  • Nonperturbative Effects
  • Sigma Models
  • Spontaneous Symmetry Breaking

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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