Cosmic strings are linear gravitational stable topological defects which may have been created as a consequence of phase transitions in the early universe. The formation of cosmic strings can have astrophysical and cosmological consequences. The geometry of the spacetime associated with an idealized cosmic string, i.e. infinitely long and straight, is locally flat except on the string. In quantum field theory, the corresponding nontrivial topology induces non-zero vacuum expectation values (VEVs) for physical observables. In this talk, we analyze the bosonic current densities induced by a magnetic flux running along an idealized cosmic string, admitting that the coordinate along the string’s axis is compactified. Additionally, we admit the presence of a magneti flux enclosed by the compactification axis. In order to develop this analysis, we calculate the complete set of normalized bosonic wave functions obeying a quasiperiodicity condition along the compactified dimension. In this context, only azimuthal and axial currents densities take place.