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| Natura: | Preprint |
| Pubblicazione: |
2023
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| Accesso online: | https://arxiv.org/abs/2303.06278 |
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| _version_ | 1866917662995513344 |
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| author | Wan, Jun-Jie Liu, Yu-Xiao |
| author_facet | Wan, Jun-Jie Liu, Yu-Xiao |
| contents | This study investigates the localization of spinor fields in braneworld models in six or higher dimensions. We study the relationship between fermions in spacetimes of $2n+2$ and $2n$ dimensions. In conformally flat extra-dimensional spacetime, fermions cannot be localized through minimal coupling with gravity. To achieve the localization of spinor fields, we introduce a tensor coupling term given by $\barΨ Γ^{M}Γ^{N}Γ^{P}\cdots T_{MNP\cdots} Ψ$, which ensures $SO(n, 1)$ symmetry. For a tensor $T_{MNP\cdots}$ of odd order, the left and right chiralities of high-dimensional spinors are decoupled. We find that a special form of tensor coupling $\barΨΓ^{M} \partial_M {F(ϕ, R, R^{μν}R_{μν},\cdots)} Ψ$ may facilitate the localization of the spinor field when $F(ϕ) = ϕ^n$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_06278 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Localization of Spinor Fields in Higher-Dimensional Braneworlds Wan, Jun-Jie Liu, Yu-Xiao High Energy Physics - Theory General Relativity and Quantum Cosmology This study investigates the localization of spinor fields in braneworld models in six or higher dimensions. We study the relationship between fermions in spacetimes of $2n+2$ and $2n$ dimensions. In conformally flat extra-dimensional spacetime, fermions cannot be localized through minimal coupling with gravity. To achieve the localization of spinor fields, we introduce a tensor coupling term given by $\barΨ Γ^{M}Γ^{N}Γ^{P}\cdots T_{MNP\cdots} Ψ$, which ensures $SO(n, 1)$ symmetry. For a tensor $T_{MNP\cdots}$ of odd order, the left and right chiralities of high-dimensional spinors are decoupled. We find that a special form of tensor coupling $\barΨΓ^{M} \partial_M {F(ϕ, R, R^{μν}R_{μν},\cdots)} Ψ$ may facilitate the localization of the spinor field when $F(ϕ) = ϕ^n$. |
| title | Localization of Spinor Fields in Higher-Dimensional Braneworlds |
| topic | High Energy Physics - Theory General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2303.06278 |