Localization of Spinor Fields in Higher-Dimensional Braneworlds

Abstract

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 $\bar{\Psi }{\Gamma }^M{\Gamma }^N{\Gamma }^P\cdots T_{MNP\cdots }\Psi$, 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 $\bar{\Psi }{\Gamma }^M{\partial }_{M}F(\varphi ,R,R^{\mu \nu }{R}_{\mu \nu },\cdots )\Psi$ may facilitate the localization of the spinor field when $F(\varphi )={\varphi }^n$.

v3: 26 pages, 2 figures

References in corpus (5)

• Fermion localization on thick branes
• Fermion localization on a split brane
• Universal spin-1/2 fermion field localization on a 5D braneworld
• Chiral Asymmetry from a 5D Higgs Mechanism
• Massive gravitons trapped inside a hypermonopole

Cited by in corpus (1)

• Spontaneous branes formation