Superconducting and spinning non-Abelian flux tubes

We find new non-Abelian flux tube solutions in a model of Nf scalar fields in the fundamental representation of SU(N)×U(1) with N≤Nf (the "extended non-Abelian Higgs model"), and study their main properties. Among the solutions there are spinning strings as well as superconducting ones. The solutions exist only in a nontrivial domain of the parameter space defined by the ratio between the SU(N) and U(1) coupling constants, the scalar self-interaction coupling constants, the magnetic fluxes (Abelian as well as non-Abelian) and the "twist parameter" which is a nontrivial relative phase of the Higgs fields.