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We study a phenomenon that electric charges are "teleported" between twospatially separated objects without exchanging charged particles at all. Forexample, this phenomenon happens between a magnetic monopole and an axionstring in four dimensions, two vortices in three dimensions, and two M5-branesin M-theory in which M2-charges are teleported. This is realized by anomalyinflow into these objects in the presence of cubic Chern-Simons terms. Inparticular, the Witten effect on magnetic monopoles can be understood as ageneral consequence of anomaly inflow, which implies that some anomalousquantum mechanics must live on them. Charge violation occurs in the anomaloustheories living on these objects, but it happens in such a way that the totalcharge is conserved between the two spatially separated objects. We derive aformula for the amount of the charge which is teleported between the twoobjects in terms of the linking number of their world volumes in spacetime.

Witten effect, anomaly inflow, and charge teleportation