Fermions in gravity and gauge backgrounds on a brane world

Understand

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.