Superconducting cosmic strings with coupled zero modes

Physics

Scientific paper

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Scientific paper

The physics of fermion zero modes on bosonic superconducting strings is investigated. The charged field at the core couples left movers to right movers, giving an effective theory of massive fermions on the string world sheet. Despite their mass, the fermions still contribute to the bosonic current through the two-dimensional anomaly. Even when the Higgs field is neutral and there is no anomaly, the string remains superconducting provided the sum of the charges of the zero modes do not vanish. The mechanism is closely analogous to a theory of superconductivity proposed by Fröhlich.

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