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arxiv: hep-th/0006117 · v1 · submitted 2000-06-16 · ✦ hep-th

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Chern-Simons terms and the Three Notions of Charge

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classification ✦ hep-th
keywords chargegaugeconservedinvariantlocalizedquantizedchern-simonsnotions
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In theories with Chern-Simons terms or modified Bianchi identities, it is useful to define three notions of either electric or magnetic charge associated with a given gauge field. A language for discussing these charges is introduced and the properties of each charge are described. `Brane source charge' is gauge invariant and localized but not conserved or quantized, `Maxwell charge' is gauge invariant and conserved but not localized or quantized, while `Page charge' conserved, localized, and quantized but not gauge invariant. This provides a further perspective on the issue of charge quantization recently raised by Bachas, Douglas, and Schweigert.

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Cited by 2 Pith papers

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

  1. Generalised Symmetries and Swampland-Type Constraints from Charge Quantisation via Rational Homotopy Theory

    hep-th 2026-04 unverdicted novelty 6.0

    Refining charge quantization via a homotopy type A yields swampland-like constraints ruling out noncompact gauge groups and non-nilpotent one-form Lie algebras, and requires A to be contractible for quantum gravity theories.

  2. Branes

    hep-th 2026-04 unverdicted

    A review of branes in string theory covering their multiple descriptions and interaction phenomena.