2015/04/30 by Peter Forgacs, Péter Forgács, Árpád Lukács +3 · 1 citation
Mathematics · Physics and Astronomy · #Abelian group #Angular momentum #Black Holes and Theoretical Physics #Charge (physics) #Combinatorics #Cosmology and Gravitation Theories #Gauge theory #Geometry #Instanton #Mathematical physics #Mathematics #Physics #Quantum electrodynamics #Quantum mechanics #Quantum, superfluid, helium dynamics #Scalar (mathematics) #String (physics) #Symmetry (geometry) #Twist #Vortex #hep-th
paper · pdf · doi:10.1103/physrevd.91.125001
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 91(12) (American Physical Society) · 18 pages, 5 figures
arxiv created 2015/05/22 · openalex publication_date 2015/06/02 · arxiv updated 2016/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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\ifmmode×\else\texttimes\fiSU(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.