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PreprintCC BY 4.0arXiv

The topological non-Abelian string in the extended SU(N) ⊗ U(1) gauge sector

  • Zhengyang Bian
  • Ning Chen
  • Mian Guo
  • Saurabh K. Shukla
  • Junyi Wei
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Abstract

We study the topological non-Abelian string and its classical stability in models with two Higgs fields to achieve the symmetry breaking of SU(N) ⊗ U(1)X→ SU(N−1) ⊗ U(1)X′. The topological origin is due to the global Ũ(1) symmetry and its breaking in the scalar potential. The most generic winding configurations of arbitrary integers of (n1 , n2) are considered. The stability of the topological string is analyzed based on the time-dependent perturbations to the string background and numerical solutions to the coupled Helmholtz equations of the perturbed Fourier modes. We present the constraints on the stable regions for the (n1 , 0) configuration (or equivalently the (0 , n2) configuration). For the general winding configurations of (n1≠ 0 , n2≠ 0), we point out the stable regions only exist in the semilocal limit of the large mixing angle of ϑN→ π/2.

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Cite

BibTeXRIS
BibTeX
@misc{bian2026topological,
  title = {{The topological non-Abelian string in the extended $\rm SU(N) \otimes \rm U(1)$ gauge sector}},
  author = {Zhengyang Bian and Ning Chen and Mian Guo and Saurabh K. Shukla and Junyi Wei},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.27791},
  eprint = {2609.27791},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.27791},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The topological non-Abelian string in the extended SU(N) ⊗ U(1) gauge sector
AU  - Zhengyang Bian
AU  - Ning Chen
AU  - Mian Guo
AU  - Saurabh K. Shukla
AU  - Junyi Wei
PY  - 2026
DA  - 2026/09/23
PB  - arXiv
DO  - 10.48550/arxiv.2609.27791
UR  - https://arxiv.org/abs/2609.27791
AB  - We study the topological non-Abelian string and its classical stability in models with two Higgs fields to achieve the symmetry breaking of SU(N) ⊗ U(1)_X→ SU(N−1) ⊗ U(1)_X^′. The topological origin is due to the global Ũ(1) symmetry and its breaking in the scalar potential. The most generic winding configurations of arbitrary integers of (n_1 , n_2) are considered. The stability of the topological string is analyzed based on the time-dependent perturbations to the string background and numerical solutions to the coupled Helmholtz equations of the perturbed Fourier modes. We present the constraints on the stable regions for the (n_1 , 0) configuration (or equivalently the (0 , n_2) configuration). For the general winding configurations of (n_1≠ 0 , n_2≠ 0), we point out the stable regions only exist in the semilocal limit of the large mixing angle of ϑ_N→ π/2.
ER  -