Fermions in gravity and gauge backgrounds on a brane world
Li Zhao, Yu-Xiao Liu, Yi-Shi Duan
TL;DR
This paper investigates the localization of massless fermions in a warped brane world with gauge backgrounds, showing that fermions can be localized via exponential warp factors, with specific gauge configurations analyzed.
Contribution
It provides explicit solutions for fermionic zero modes in warped geometries with gauge backgrounds, highlighting conditions for localization on the brane.
Findings
Massless fermions can be localized on the brane with exponential warp factors.
U(1) gauge backgrounds facilitate fermion localization.
Analysis of specific gauge background cases on extra dimensions.
Abstract
We solve the fermionic zero modes in gravity and gauge backgrounds on a brane involving a warped geometry, and study the localization of spin 1/2 fermionic field on the brane world. The result is that there exist massless spin 1/2 fermions which can be localized on the bulk with the exponentially decreasing warp factor if including U(1) gauge background. Two special cases of gauge backgrounds on the extra dimensional manifold are discussed.
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