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A note on BPS vortex bound states

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arxiv 1509.06632 v2 pith:OA7QD7F6 submitted 2015-09-22 hep-th

A note on BPS vortex bound states

classification hep-th
keywords boundstatesfluctuationhiggsnotevectorvorticesabelian
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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In this note we investigate bound states, where scalar and vector bosons are trapped by BPS vortices in the Abelian Higgs model with a critical ratio of the couplings. A class of internal modes of fluctuation around cylindrically symmetric BPS vortices is characterized mathematically, analysing the spectrum of the second-order fluctuation operator when the Higgs and vector boson masses are equal. A few of these bound states with low values of quantized magnetic flux are described fully, and their main properties are discussed.

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Cited by 1 Pith paper

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  1. Localized Vector Modes on Local Cosmic Strings

    hep-th 2026-07 accept novelty 6.0

    Vector gauge modes trapped on Abelian-Higgs cosmic strings remain bound for all couplings λ, decay as t^{-1/2} via bulk radiation (or via quasinormal modes at large λ), and parametrically excite both transverse zero modes.