  A massive scalar field is quantized in the background of a cosmic string
which is generalized to a static flux-carrying codimension-2 brane in the
locally flat multidimensional space-time. We find that the finite
energy-momentum tensor is induced in the vacuum. The dependence of the tensor
components on the brane flux and tension, as well as on the coupling to the
space-time curvature scalar, is comprehensively analyzed. The tensor components
are holomorphic functions of space dimension, decreasing exponentially with the
distance from the brane. The case of the massless quantized scalar field is
also considered, and the relevance of Bernoulli's polynomials of even order for
this case is discussed.
