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PreprintarXiv licencearXiv

Localization of Vector and Fermion Fields on a Thick Brane with a Lump-type Scalar Background

Abstract

We study a thick braneworld model in asymptotically anti-de Sitter spacetime, supported by a non-topological lump-type scalar field. Unlike in boson stars, which are also non-topological solutions, the complex scalar field in our setup must have zero oscillation frequency. Consequently, the background scalar field is static and real, which breaks the global U(1) symmetry. This is similar to spontaneous symmetry breaking, but it is not the same. We then investigate the localization of vector and fermion fields within this framework. By introducing a specific non-minimal coupling, we demonstrate that the zero modes of both fields can be successfully localized. Notably, this mechanism allows for the simultaneous localization of both left- and right-handed fermion zero modes.

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BibTeX
@misc{zhou2026localization,
  title = {{Localization of Vector and Fermion Fields on a Thick Brane with a Lump-type Scalar Background}},
  author = {Jun-Tong Zhou and Zhen-Hua Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.14324},
  eprint = {2609.14324},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.14324},
}
RIS
TY  - UNPB
TI  - Localization of Vector and Fermion Fields on a Thick Brane with a Lump-type Scalar Background
AU  - Jun-Tong Zhou
AU  - Zhen-Hua Zhao
PY  - 2026
DA  - 2026/09/13
PB  - arXiv
DO  - 10.48550/arxiv.2609.14324
UR  - https://arxiv.org/abs/2609.14324
AB  - We study a thick braneworld model in asymptotically anti-de Sitter spacetime, supported by a non-topological lump-type scalar field. Unlike in boson stars, which are also non-topological solutions, the complex scalar field in our setup must have zero oscillation frequency. Consequently, the background scalar field is static and real, which breaks the global U(1) symmetry. This is similar to spontaneous symmetry breaking, but it is not the same. We then investigate the localization of vector and fermion fields within this framework. By introducing a specific non-minimal coupling, we demonstrate that the zero modes of both fields can be successfully localized. Notably, this mechanism allows for the simultaneous localization of both left- and right-handed fermion zero modes.
ER  -