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Witten effect, anomaly inflow, and charge teleportation

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arxiv 2010.02221 v1 pith:TRV4QYRF submitted 2020-10-05 hep-th cond-mat.str-elhep-ph

Hajime Fukuda , Kazuya Yonekura This is my paper · ORCID
classification hep-thcond-mat.str-elhep-ph
keywords objectschargeanomalyinflowteleportedanomalousdimensionseffect
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We study a phenomenon that electric charges are "teleported" between two spatially separated objects without exchanging charged particles at all. For example, this phenomenon happens between a magnetic monopole and an axion string in four dimensions, two vortices in three dimensions, and two M5-branes in M-theory in which M2-charges are teleported. This is realized by anomaly inflow into these objects in the presence of cubic Chern-Simons terms. In particular, the Witten effect on magnetic monopoles can be understood as a general consequence of anomaly inflow, which implies that some anomalous quantum mechanics must live on them. Charge violation occurs in the anomalous theories living on these objects, but it happens in such a way that the total charge is conserved between the two spatially separated objects. We derive a formula for the amount of the charge which is teleported between the two objects in terms of the linking number of their world volumes in spacetime.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Non-invertible symmetries in the axiverse, and the imaginary wormholes

    hep-th 2026-06 unverdicted novelty 6.0 of 10

    Imaginary wormholes and the IDB imply that towers of BPS EFT instantons generate infinitely many superpotential terms that break non-invertible axion shift symmetries in N=1 axiverse models.

  2. Axion QED as a Lattice Gauge Theory and Non-Invertible Symmetry

    hep-lat 2024-12 conditional novelty 6.0 of 10

    A lattice construction of axion QED with gauge-invariant 't Hooft loops is given, and the non-invertible chiral symmetry is shown to act non-invertibly on them, either vanishing or attaching a field-strength surface.

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