Localization of bulk fields on AdS4 brane in AdS5

We study the localization of various bulk fields on an AdS4 brane in AdS5. In this case, for a small brane cosmological constant, all the bulk fields ranging from scalar to graviton are naturally confined to the brane only through the gravitational interaction. In particular, for the vector field we can find an interesting zero mode solution which satisfies the box boundary condition. In the cases of spin 1/2 spinor and 3/2 gravitino fields, the form of zero modes is very similar to as in a flat Minkowski brane, but they are trapped on the AdS4 brane even without introducing a mass term with a ‘kink’ profile.