Abstract
In this work, we study the general properties of the D-vector field
localization on (D - d - 1)-brane with co-dimension d. We consider a
conformally flat metric with the warp factor depending only on the
transverse extra dimensions. We employ the geometrical coupling
mechanism and find an analytical solution for the U(1) gauge field valid
for any warp factor. Using this solution we find that the only condition
necessary for localization is that the bulk geometry is asymptotically
AdS. Therefore, our solution has an universal validity for any warp
factor and is independent of the particular model considered. We also
show that the model has no tachyonic modes. Finally, we study the scalar
components of the D-vector field. As a general result, we show that if
we consider the coupling with the tensor and the Ricci scalar in higher
co-dimensions, there is an indication that both sectors will be
localized. As a concrete example, the above techniques are applied for
the intersecting brane model. We obtain that the branes introduce
boundary conditions that fix all parameters of the model in such a way
that both sectors, gauge and scalar fields, are confined.
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