In this paper we investigate the vacuum polarization effects associated to a
charged quantum massive scalar field on a (D+1)-dimensional anti-de Sitter
background induced by a magnetic-flux-carrying cosmic string in the braneworld
model context. We consider the brane parallel to the anti-de Sitter boundary
and the cosmic string orthogonal to them. Moreover, we assume that the field
obeys the Robin boundary condition on the brane. Because the brane divides the
space into two regions with different properties of the quantum vacuum, we
calculate the vacuum expectation value (VEV) of the field squared and the
energy-momentum tensor (EMT) in each region. To develop these analyses, we have
constructed the positive frequency Wightman function for both regions. The
latter is decomposed in a part associated with the anti-de Sitter bulk in the
presence of a cosmic string only, and the other part induced by the brane. The
vacuum polarization effects associated with the higher-dimensional anti-de
Sitter bulk in the presence of cosmic string have been developed in the
literature, and here we are mainly interested in the effects induced by the
brane. We show that the VEVs of the field squared and the components of the EMT
induced by the cosmic string are finite on the brane. Explicitly, we compare
these observables with the corresponding ones induced by the brane only, and
show that near the brane the contribution induced by the latter is larger than
the one induced by the string; however, for points distant from the brane the
situation is reversed. Moreover, some asymptotic expressions for the VEV of the
field squared and EMT are provided for specific limiting cases of the physical
parameters of the model. Also, an application of our results is given for a
cosmic string in the Z2​-symmetric Randall-Sundrum braneworld model with a
single brane.Comment: 23 pages, 4 figures; Version accepted for publication in EPJ