Abstract
In this paper, we study how geometrical coupling can be adapted to
localize a model with kinetic gauge mixing on a thin membrane. The model
discussed is a theory for millicharged particles, proposed by Holdom in
1985, and that now is object of study in the LHC. We propose a
geometrical coupling between the gauge fields, the Ricci scalar and the
Ricci tensor. We show that it is possible to localize such a model by
regarding specific values for the coupling constants. We find the
solutions for the two gauge fields and discuss the localization for
scalar fields that appears naturally in the process. We show that not
necessarily the gauge and scalar fields are localized at the same time.
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