Abstract
In this paper we investigate the localization of spinor fields in braneworld models by reducing a Dirac spinor in 2n + 2-dimensional spacetime to spinors in 2n dimensions. The high-dimensional Dirac can be reduced to low-dimensional spinors including Weyl or Dirac. 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 \( \overline{\Psi}{\Gamma}^M{\Gamma}^N{\Gamma}^P\cdots {T}_{MNP\cdots}\Psi \), which ensures SO(n, 1) symmetry. For a tensor TMNP⋯ of odd order, the left and right chiralities of high-dimensional spinors are decoupled. We find that a special form of tensor coupling \( \overline{\Psi}{\Gamma}^M{\partial}_MF\left(\phi, R,{R}^{\mu \nu}{R}_{\mu \nu},\cdots \right)\Psi \) may facilitate the localization of the spinor field when F(ϕ) = ϕn.
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Acknowledgments
We are grateful to Zheng-Yang Li, Zheng-Quan Cui and Yu-Peng Zhang for valuable discussions. This research was financially supported by the National Key Research and Development Program of China (Grant No. 2020YFC2201503), the National Natural Science Foundation of China (Grants No. 11875151 and No. 12247101), the 111 Project (Grant No. B20063), the Major Science and Technology Projects of Gansu Province and a research funding subsidy from Lanzhou City to Lanzhou University.
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Wan, JJ., Liu, YX. Localization of spinor fields in higher-dimensional braneworlds. J. High Energ. Phys. 2023, 33 (2023). https://doi.org/10.1007/JHEP12(2023)033
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DOI: https://doi.org/10.1007/JHEP12(2023)033