Abstract
It was found that in a RS-like brane model the effective action for the massive vector KK modes of a U(1) gauge field was gauge invariant Fu et al., JHEP 2019(1) (2019). https://doi.org/10.1007/jhep01(2019)021. It is interesting to investigate the factors this gauge invariance maybe depend on, such as the geometry of the space-time, the number of the extra dimensions, and the dimension of the brane. We demonstrate that the three factors do not affect the gauge invariant formulation of the effective action, but influence the localization of the gauge invariant massive vector KK modes.
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