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Relations among topological solitons

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arxiv 2202.03929 v2 pith:Y4ZD7QDN submitted 2022-02-08 hep-th hep-ph

classification hep-thhep-ph
keywords solitonscompositerelationstopologicaldomaininstantonmagneticmonopole
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We clarify relations among topological solitons in various dimensions: a domain wall, non-Abelian vortex, magnetic monopole and Yang-Mills instanton, together with a (non-Abelian) sine-Gordon soliton, baby Skyrmion (lump) and Skyrmion. We construct a composite configuration consisting of a domain wall, vortex, magnetic monopole and Yang-Mills instanton (wall-vortex-monopole-instanton) using the effective theory technique or moduli approximation. Removing some solitons from such a composite, we obtain all possible composite solitons in the form of solitons within a soliton, including all the previously known configurations, yielding relations among topological solitons.

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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. Baryonic vortices in rotating nuclear matter

    hep-ph 2026-03 unverdicted novelty 7.0 of 10

    Previously discarded global pion vortices become finite-energy and energetically competitive in rotating nuclear matter because causality bounds the system size.

  2. Fractional instantons in 2d $\mathbb{C}P^{N-1}$ model and 4d Yang-Mills theory with 't Hooft twists

    hep-th 2025-07 conditional novelty 7.0 of 10

    Explicit theta-function solutions for fractional BPS lumps on a twisted torus are constructed, and the moduli space is a CP^(Nk+p-1) fiber bundle over a small torus, matching the index theorem.

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