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In this paper, we analyse the bosonic current densities induced by a magneticflux running along the core of an idealized cosmic string in a high-dimensionalAdS spacetime, admitting that an extra dimension coordinate is compactified.Additionally we admit the presence of a magnetic flux enclosed by thecompactified axis. In order to develop this analysis we calculate the completeset of normalized bosonic wave-functions obeying a quasiperiodicity condition,with arbitrary phase $\beta$, along the compactified extra dimension. In thiscontext, only azimuthal and axial currents densities take place. As to theazimuthal current, two contributions appear.  The first one corresponds to the standard azimuthal current inhigh-dimensional AdS spacetime with a cosmic string without compactificationwhile the second contribution is a new one, induced by the compactificationitself. The latter is an even function of the magnetic flux enclosed by thecompactified axis and is an odd function of the magnetic flux along its corewith period equal to quantum flux, $\Phi_0=2\pi/e$. On the other hand, thenonzero axial current density is an even function of the magnetic flux alongthe core of the string and an odd function of the magnetic flux enclosed by thecompactified axis. We also find that the axial current density vanishes foruntwisted and twisted bosonic fields in the absence of the magnetic fluxenclosed by the compactified axis. Some asymptotic expressions for the currentdensity are provided for specific limiting cases of the physical parameter ofthe model.

Induced current in high-dimensional AdS spacetime in the presence of a cosmic string and a compactified extra dimension