  In this paper, we investigate the vacuum bosonic currents in the geometry of
a compactified cosmic string in the background of the de Sitter spacetime. The
currents are induced by magnetic fluxes, one running along the cosmic string
and another one enclosed by the compact dimension. In order to develop this
analysis, we obtain the complete set of normalized bosonic wave-functions
obeying a quasiperiodicity condition. In this context, we calculate the
azimuthal and axial current densities. Due to the quasiperiodicity condition,
the quantum number associated with the compactification of the string along its
axis becomes discrete, and we use the Abel-Plana summation formula to evaluate
the non-vanishing current densities. We show that these quantities are
explicitly decomposed into two contributions: one corresponds to the geometry
of a straight uncompactified cosmic string and the other is induced by the
compactification. We also compare the results with the literature in the case
of a massive fermionic field in the same geometry.
