  In this work we investigate a braneworld scenario where a Kalb-Ramond field
propagates, together with gravity, in a five dimensional AdS slice. The rank-2
Kalb-Ramond field is associated with torsion. We study the compactification of
the Kalb-Ramond field to four dimensional space-time without gauge fixing,
focusing on the effects of torsion. On the brane the Kalb-Ramond field
interacts with $A_{\mu}$-gauge and scalar matter fields. We analyze the
propagators of this theory and as an application investigate the consistency of
such a model in the presence of a cosmic string configuration. One interesting
feature of this model is the presence of topological charge coming from a
topological mass term that couples the gauge field $A_{\mu}$ with Kalb-Ramond
modes.
