  In a recent study the coalescence of magnetic skyrmions was observed in a
metallic chiral magnet Fe0.5Co0.5Si when the skyrmion phase is destroyed, and
numerical simulations demonstrated the existence of a monopole at the merging
point of two skyrmion lines. The exchange interaction between such magnetic
textures and the conduction electrons can be described by emergent
electromagnetism. In this paper, we investigate the effect of a
skyrmions-merging process on conduction electrons by calculating induced
electric currents. Here, in addition to the exchange interactions, we consider
the antisymmetric spin-orbit couplings (SOC) due to broken inversion symmetry,
which is an essential ingredient for the realization of skyrmion texture in the
itinerant magnet Fe0.5Co0.5Si. We obtain an adiabatic current which is
dissipationless, and dissipative currents driven by the effective
electromagnetic fields including the effect of SOC. In terms of the effective
fields, a moving monopole at the merging point turns out to be a dyon-like
object; i.e. it has both electric charge and magnetic charge.
