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Dipole symmetries from the topology of the phase space and the constraints on the low-energy spectrum

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arxiv 2303.04479 v3 pith:P4QNCQ5K submitted 2023-03-08 hep-th cond-mat.str-el

Tomas Brauner , Naoki Yamamoto , Ryo Yokokura This is my paper
classification hep-thcond-mat.str-el
keywords systemfieldchargedensitydipoleformlocalmodes
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We demonstrate the general existence of a local dipole conservation law in bosonic field theory. The scalar charge density arises from the symplectic form of the system, whereas the tensor current descends from its stress tensor. The algebra of spatial translations becomes centrally extended in presence of field configurations with a finite nonzero charge. Furthermore, when the symplectic form is closed but not exact, the system may, surprisingly, lack a well-defined momentum density. This leads to a theorem for the presence of additional light modes in the system whenever the short-distance physics is governed by a translationally invariant local field theory. We also illustrate this mechanism for axion electrodynamics as an example of a system with Nambu--Goldstone modes of higher-form symmetries.

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Cited by 4 Pith papers

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

  1. A real-space exceptional ring mediates an eigenframe-charge transition in a non-Hermitian skyrmion

    cond-mat.mes-hall 2026-06 unverdicted novelty 7.0 of 10

    Non-Hermitian skyrmions carry two topological charges that coincide in the Hermitian limit but one breaks down at exceptional points where the biorthogonal Bloch field diverges.

  2. A real-space exceptional ring mediates an eigenframe-charge transition in a non-Hermitian skyrmion

    cond-mat.mes-hall 2026-06 accept novelty 7.0 of 10

    Non-Hermitian skyrmions split into a homotopy-protected right-state charge and a biorthogonal charge that loses quantization at an equatorial exceptional ring when gain/loss reaches the texture scale.

  3. A real-space exceptional ring mediates an eigenframe-charge transition in a non-Hermitian skyrmion

    cond-mat.mes-hall 2026-06 unverdicted novelty 6.0 of 10

    Non-Hermitian skyrmions split their topological charge into a protected real charge and a complex charge that loses quantization and breaks at exceptional points.

  4. A real-space exceptional ring mediates an eigenframe-charge transition in a non-Hermitian skyrmion

    cond-mat.mes-hall 2026-06 conditional novelty 6.0 of 10

    In a non-Hermitian skyrmion, the right-state charge is homotopy-protected while the biorthogonal charge loses quantization at a real-space exceptional ring on the equator.

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