Dark Matter phenomenology of intersecting D6-branes with a Stueckelberg portal

We discuss the possibility that a Stueckelberg portal connects both Standard Model and Dark Matter sectors. The particle responsible of this portal is the lightest Z’ boson that induces isospin-violating interactions. This property leads to a rich phenomenology for the direct detection and collider experiments that can constraint the parameter space of this kind of models and can be tested in the future.