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<p>In this work we establish every spherically symmetric non-Abelian <i>ℤ</i><sub>2</sub> monopole generated by <i>su</i>(2) embeddings in the SU(4) Yang-Mills-Higgs model minimally broken to SO(4) by a symmetric second-rank tensor Higgs field. We find new monopole solutions associated with index 4 and index 10 embeddings. These solutions belong to <i>su</i>(2) multiplets that are higher dimensional than triplets. Properties of these monopoles such as their mass and radius are calculated in the vanishing potential limit. A parallel between this result and the Standard Model hierarchy of fermion masses is considered.</p>

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Mass hierarchy of ℤ2 monopoles

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年5月22日

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  • Eduardo E. Quadros,
  • Paulo J. Liebgott

摘要

In this work we establish every spherically symmetric non-Abelian ℤ2 monopole generated by su(2) embeddings in the SU(4) Yang-Mills-Higgs model minimally broken to SO(4) by a symmetric second-rank tensor Higgs field. We find new monopole solutions associated with index 4 and index 10 embeddings. These solutions belong to su(2) multiplets that are higher dimensional than triplets. Properties of these monopoles such as their mass and radius are calculated in the vanishing potential limit. A parallel between this result and the Standard Model hierarchy of fermion masses is considered.