Localization of Kaluza-Klein gauge fields on a brane

TL;DR

This paper demonstrates the localization of Kaluza-Klein gauge fields associated with brane symmetry groups in warped extra-dimensional models, and calculates their effective couplings with matter fields.

Contribution

It introduces a method to localize Kaluza-Klein gauge fields on a brane and computes their effective four-dimensional couplings in a specific warped geometry model.

Findings

Kaluza-Klein gauge fields can be localized on a brane.

Effective four-dimensional coupling constants are calculable.

Localization depends on the geometry of extra dimensions.

Abstract

In phenomenological models with extra dimensions there is a natural symmetry group associated to a brane universe, -- the group of rotations of 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 nonzero rotation moment around the brane. In a particular example of a four-dimensional brane embedded into six-dimensional asymptotically anti-deSitter space, we calculate effective four-dimensional coupling constant between the localized fermion zero modes and the Kaluza-Klein gauge field.