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arXiv · 2609.14324

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

Jun-Tong Zhou·Zhen-Hua Zhao
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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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Jun-Tong Zhou, Zhen-Hua Zhao. 2026-09-13. Localization of Vector and Fermion Fields on a Thick Brane with a Lump-type Scalar Background. https://arxiv.org/abs/2609.14324

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