### Abstract

Non-Abelian flux-tube (string) solutions carrying global currents are found in the bosonic sector of four-dimensional N=2 supersymmetric gauge theories. The specific model considered here possesses U(2)local×SU(2)global symmetry, with two scalar doublets in the fundamental representation of SU(2). We construct string solutions that are stationary and translationally symmetric along the x3 direction, and they are characterized by a matrix phase between the two doublets, referred to as "twist." Consequently, twisted strings have nonzero (global) charge, momentum, and in some cases even angular momentum per unit length. The planar cross section of a twisted string corresponds to a rotationally symmetric, charged non-Abelian vortex, satisfying first-order Bogomolny-type equations and second-order Gauss constraints. Interestingly, depending on the nature of the matrix phase, some of these solutions even break cylindrical symmetry in R3. Although twisted vortices have higher energy than the untwisted ones, they are expected to be linearly stable since one can keep their charge (or twist) fixed with respect to small perturbations.

Original language | English |
---|---|

Article number | 125001 |

Journal | Physical Review D - Particles, Fields, Gravitation and Cosmology |

Volume | 91 |

Issue number | 12 |

DOIs | |

Publication status | Published - Jun 2 2015 |

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### ASJC Scopus subject areas

- Nuclear and High Energy Physics

### Cite this

*Physical Review D - Particles, Fields, Gravitation and Cosmology*,

*91*(12), [125001]. https://doi.org/10.1103/PhysRevD.91.125001

**Non-Abelian vortices with a twist.** / Forgács, P.; Lukács, Árpád; Schaposnik, Fidel A.

Research output: Contribution to journal › Article

*Physical Review D - Particles, Fields, Gravitation and Cosmology*, vol. 91, no. 12, 125001. https://doi.org/10.1103/PhysRevD.91.125001

}

TY - JOUR

T1 - Non-Abelian vortices with a twist

AU - Forgács, P.

AU - Lukács, Árpád

AU - Schaposnik, Fidel A.

PY - 2015/6/2

Y1 - 2015/6/2

N2 - Non-Abelian flux-tube (string) solutions carrying global currents are found in the bosonic sector of four-dimensional N=2 supersymmetric gauge theories. The specific model considered here possesses U(2)local×SU(2)global symmetry, with two scalar doublets in the fundamental representation of SU(2). We construct string solutions that are stationary and translationally symmetric along the x3 direction, and they are characterized by a matrix phase between the two doublets, referred to as "twist." Consequently, twisted strings have nonzero (global) charge, momentum, and in some cases even angular momentum per unit length. The planar cross section of a twisted string corresponds to a rotationally symmetric, charged non-Abelian vortex, satisfying first-order Bogomolny-type equations and second-order Gauss constraints. Interestingly, depending on the nature of the matrix phase, some of these solutions even break cylindrical symmetry in R3. Although twisted vortices have higher energy than the untwisted ones, they are expected to be linearly stable since one can keep their charge (or twist) fixed with respect to small perturbations.

AB - Non-Abelian flux-tube (string) solutions carrying global currents are found in the bosonic sector of four-dimensional N=2 supersymmetric gauge theories. The specific model considered here possesses U(2)local×SU(2)global symmetry, with two scalar doublets in the fundamental representation of SU(2). We construct string solutions that are stationary and translationally symmetric along the x3 direction, and they are characterized by a matrix phase between the two doublets, referred to as "twist." Consequently, twisted strings have nonzero (global) charge, momentum, and in some cases even angular momentum per unit length. The planar cross section of a twisted string corresponds to a rotationally symmetric, charged non-Abelian vortex, satisfying first-order Bogomolny-type equations and second-order Gauss constraints. Interestingly, depending on the nature of the matrix phase, some of these solutions even break cylindrical symmetry in R3. Although twisted vortices have higher energy than the untwisted ones, they are expected to be linearly stable since one can keep their charge (or twist) fixed with respect to small perturbations.

UR - http://www.scopus.com/inward/record.url?scp=84935869715&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84935869715&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.91.125001

DO - 10.1103/PhysRevD.91.125001

M3 - Article

AN - SCOPUS:84935869715

VL - 91

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 12

M1 - 125001

ER -