Superconducting and Spinning Non-Abelian Flux Tubes

TL;DR

This paper introduces new non-Abelian flux tube solutions in an extended Higgs model, including spinning and superconducting types, with properties dependent on various coupling constants and flux parameters.

Contribution

It presents the discovery of novel non-Abelian flux tube solutions, including spinning and superconducting strings, in a generalized Higgs model with detailed analysis of their parameter space.

Findings

Existence of spinning and superconducting flux tubes.

Solutions depend on coupling constants and flux parameters.

Identification of a non-trivial parameter space domain.

Abstract

We find new non-Abelian flux tube solutions in a model of $N_f$ scalar fields in the fundamental representation of SU(N)xU(1) with $N \leq N_f$ (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 non trivial 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 non-trivial relative phase of the Higgs fields.