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Dynamics of Excited BPS 3-Vortices

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arxiv 2502.15087 v1 pith:NZVPXZ3L submitted 2025-02-20 hep-th

classification hep-th
keywords vorticescirccollisionsdimensionaldynamicsgeodesicmotionshape
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abstract

We analyze the dynamics of BPS 3-vortex solutions. First, for unexcited vortices, we study the 2-dimensional moduli space of centred vortices with $y \to -y$ symmetry, and its metric. We identify the 1-dimensional subspaces describing the head-on collisions of equidistant collinear and equilateral triangle configurations, where geodesic motion results in $90^\circ$ and 60^\circ$ scattering, respectively. Second, by studying the frequency spectrum of vibrational shape modes along these subspaces, we explain how the force-free, geodesic motion is modified by shape mode excitations into a pattern of chaotic multi-bounce collisions.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Resonance phenomena in vortex-antivortex collisions

    hep-th 2025-10 conditional novelty 7.0 of 10

    Vortex–antivortex collisions in the deep type-II Abelian-Higgs model show multi-bounce windows embedded in annihilation regions, driven by a Feshbach resonant mode.

  2. Localized Vector Modes on Local Cosmic Strings

    hep-th 2026-07 accept novelty 6.0 of 10

    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.

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