Localization of Kaluza-Klein gauge fields on a brane

In phenomenological models with extra dimensions there is a natural symmetry group associated with a brane universe--the group of rotations of the normal bundle of the brane. We consider Kaluza-Klein gauge fields corresponding to this group and show that they can be localized on the brane in models with warped extra dimensions. These gauge fields are coupled to matter fields which have a nonzero rotation moment around the brane. In a particular example of a four-dimensional brane embedded into six-dimensional asymptotically anti--de Sitter space, we calculate the effective four-dimensional coupling constant between the localized fermion zero modes and the Kaluza-Klein gauge field.