Anomalies and effective lagrangians of superconducting cosmic strings

Physics – Nuclear Physics

Scientific paper

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Scientific paper

We study the effective lagrangians of superconducting cosmic strings and the underlying anomaly structure leading to various effects. We show that fermionic superconducting cosmic (Nielsen-Olesen) strings arise as a consequence of a mixed anomaly of the form E . B' where E is the electromagnetic field strength and B' the core flux of the string. We show how this controls superconductivity, the index theorems, topological mass terms on domain walls, and string-axion interactions. We contrast this to global strinfs with Chern-Simons currents.

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