content_image/351575.jpg content_image/351573.jpg content_image/351576.jpg content_image/351574.jpg content_image/351577.jpg content_image/351578.jpg
and the unitary matrix 

In order to simplify Eq. (11), we can rotate the matter fields 

leaving the bulk lagrangian L invariant. However, the localized terms 

become diagonal in flavor space (the terms proportional to x$_{l}$ and y$_{b,s}$ are actually flavor independent), except for the Majorana masses 

Dirichlet boundary conditions are modified in the presence of these boundary terms. Thus, on the UV brane 

<img src='content_image/351575.jpg'>

<img src='content_image/351573.jpg'>

<img src='content_image/351576.jpg'>

<img src='content_image/351574.jpg'>

<img src='content_image/351577.jpg'>

and on the IR one 

<img src='content_image/351578.jpg'>

From these equations we observe that the lepton doublet zero mode is shared by all mul- tiplets due to the non-zero values of x$_{l}$ , y$_{b}$ and y α $_{b}$, whereas y$_{s}$ splits the RH neutrino zero 

