Fermion masses on a warped 6D world with the extra 2D sphere

Abstract

In a warped 6-dimensional world with an extra 2-dimensional surface of a sphere, we find a 4-dimensional fermion mass formula with a zero mode. The warp factor is given by $\varphi (\theta ,\phi )=\sin \theta \cos \phi$, which is a solution to the 6-dimensional Einstein equation with the bulk cosmological constant $\Lambda$ and the energy-momentum tensor of the bulk matter fields.

This paper has been withdrawn by the author due to a crucial error in equation (A11)