  We discuss how the topological defects in the dark sector affect the Standard
Model sector when the dark photon has a kinetic mixing with the QED photon. In
particular, we consider the dark photon appearing in the successive gauge
symmetry breaking, $\mathrm{SU}(2)\to \mathrm{U}(1) \to \mathbb{Z}_2$, where
the remaining $\mathbb{Z}_2$ is the center of $\mathrm{SU(2)}$. In this model,
the monopole is trapped into the cosmic strings and forms the so-called bead
solution. As we will discuss, the dark cosmic string induces the QED magnetic
flux inside the dark string through the kinetic mixing. The dark monopole, on
the other hand, does not induce the QED magnetic flux in the U(1) symmetric
phase, even in the presence of the kinetic mixing. Finally, we show that the
dark bead solution induces a spherically symmetric QED magnetic flux through
the kinetic mixing. The induced flux looks like the QED magnetic monopole
viewed from a distance, although QED satisfies the Bianchi identity everywhere,
which we call a pseudo magnetic monopole.
