Twisted non-Abelian vortices

Abstract

Twisted non-Abelian flux-tube solutions are considered in the bosonic sector of a 4-dimensional [Formula: see text] super-symmetric gauge theory with U(2)[Formula: see text] symmetry, with two scalar doublets in the fundamental representation. Twist refers to a time-dependent matrix phase between the two doublets, and 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 1st order Bogomolny-type equations and Gauss-type constraints. Quite unexpectedly some twisted strings lack cylindrical symmetry in [Formula: see text].