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Superconducting strings in the two-Higgs doublet model

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arxiv 2410.03300 v3 pith:5OM2XHLE submitted 2024-10-04 hep-ph astro-ph.COhep-th

Richard Battye , Steven Cotterill This is my paper · ORCID
classification hep-phastro-ph.COhep-th
keywords modeldoubletgaugedglobalsuperconductingtwo-higgsalongansatz
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abstract

We present superconducting vortex solutions in the two-Higgs doublet model which has a gauged $U(1)$ Higgs-family symmetry. We write down an ansatz for the solution and study its basic properties, for the case of both global and gauged symmetries. We demonstrate its prima-facie stability using 3D numerical simulations of a global version of the theory, observing the flow of current along the string. We discuss how generic such a phenomena might be and the possible consequences if such a model is found in nature.

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