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 $F(\varphi )={\varphi }^n$.

arXiv commentv3: 26 pages, 2 figures

References in corpus (25)

• An Alternative to Compactification
• The Hierarchy Problem and New Dimensions at a Millimeter
• Localization of Matter and Cosmological Constant on a Brane in Anti de Sitter Space
• Brane world: disappearing massive matter
• Fermion zero-modes on brane-worlds
• Fermion localization on thick branes
• Localisation of massive fermions on the brane
• Consistency Conditions for Brane Worlds in Arbitrary Dimensions
• Brane World Sum Rules
• Fermion localization on a split brane
• Cosmology and Fermion Confinement in a Scalar-Field-Generated Domain Wall Brane in Five Dimensions
• Localization of massive fermions on the baby-skyrmion branes in 6 dimensions
• New localization mechanism of fermions on braneworlds
• Bulk matter fields on two-field thick branes
• Fermion localization mechanism with derivative geometrical coupling on branes
• Field localization on a brane intersection in anti-de Sitter spacetime
• Localization and quasilocalization of spin-$1/2$ fermion field on two-field thick braneworld
• Universal spin-1/2 fermion field localization on a 5D braneworld
• From the Geometry of Pure Spinors with their Division Algebras to Fermion's Physics
• Chiral Asymmetry from a 5D Higgs Mechanism
• Localization of fermions in different domain wall models
• Universal Aspects of $U(1)$ Gauge Field Localization on Branes in $D$-dimensions
• Smooth braneworld in $6$-dimensional asymptotically AdS spacetime
• Massive gravitons trapped inside a hypermonopole
• Some problems with reproducing the Standard Model fields and interactions in five-dimensional warped brane world models

Cited by in corpus (1)

• Spontaneous branes formation