Non-Abelian vortices with an Aharonov-Bohm effect

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

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

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 number086
JournalJournal of High Energy Physics
Volume2014
Issue number1
DOIs
Publication statusPublished - 2014 Jan

Fingerprint

vortices
symmetry
electromagnetism
subgroups
gauge theory
strings
solitary waves
scalars
configurations
magnetic fields

Keywords

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

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

Non-Abelian vortices with an Aharonov-Bohm effect. / Evslin, Jarah; Konishi, Kenichi; Nitta, Muneto; Ohashi, Keisuke; Vinci, Walter.

In: Journal of High Energy Physics, Vol. 2014, No. 1, 086, 01.2014.

Research output: Contribution to journalArticle

Evslin, Jarah ; Konishi, Kenichi ; Nitta, Muneto ; Ohashi, Keisuke ; Vinci, Walter. / Non-Abelian vortices with an Aharonov-Bohm effect. In: Journal of High Energy Physics. 2014 ; Vol. 2014, No. 1.
@article{6dbc8ac4f5a24accb5cf161fd9699342,
title = "Non-Abelian vortices with an Aharonov-Bohm effect",
abstract = "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.",
keywords = "Duality in Gauge Field Theories, Nonperturbative Effects, Sigma Models, Spontaneous Symmetry Breaking",
author = "Jarah Evslin and Kenichi Konishi and Muneto Nitta and Keisuke Ohashi and Walter Vinci",
year = "2014",
month = "1",
doi = "10.1007/JHEP01(2014)086",
language = "English",
volume = "2014",
journal = "Journal of High Energy Physics",
issn = "1126-6708",
publisher = "Springer Verlag",
number = "1",

}

TY - JOUR

T1 - Non-Abelian vortices with an Aharonov-Bohm effect

AU - Evslin, Jarah

AU - Konishi, Kenichi

AU - Nitta, Muneto

AU - Ohashi, Keisuke

AU - Vinci, Walter

PY - 2014/1

Y1 - 2014/1

N2 - 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.

AB - 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.

KW - Duality in Gauge Field Theories

KW - Nonperturbative Effects

KW - Sigma Models

KW - Spontaneous Symmetry Breaking

UR - http://www.scopus.com/inward/record.url?scp=84893870917&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84893870917&partnerID=8YFLogxK

U2 - 10.1007/JHEP01(2014)086

DO - 10.1007/JHEP01(2014)086

M3 - Article

AN - SCOPUS:84893870917

VL - 2014

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 1

M1 - 086

ER -