Electroweak axion string and superconductivity

Abstract

We study the axion strings with the electroweak gauge flux in the DFSZ axion model and show that these strings, called the electroweak axion strings, can exhibit superconductivity without fermionic zero modes. We construct three types of electroweak axion string solutions. Among them, the string with $W$-flux can be lightest in some parameter space, which leads to a stable superconducting cosmic string. We also show that a large electric current can flow along the string due to the Peccei-Quinn scale much higher than the electroweak scale. This large current induces a net attractive force between the axion strings with the same topological charge, which opens a novel possibility that the axion strings form Y-junctions in the early universe.

35 pages, 8 figures; v3: published version

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• Cosmological evolution of Witten superconducting string networks
• QCD Axion Strings or Seeds?
• Cosmic Microwave Background Signatures from Current-carrying Cosmic Strings
• Dynamical simulations of colliding superconducting strings
• Zero Modes of Massive Fermions Delocalize from Axion Strings
• Gravitational wave and dark matter from Axion-Higgs string
• Superconducting strings in the two-Higgs doublet model
• Current induction and macroscopic forces for superconducting strings
• Gravitational Wave Mountains: current-carrying domain walls