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PreprintCC BY 4.0arXiv

Particle-Vortex Duality of Hydrodynamics

  • Cenke Xu
  • Matthew P. A. Fisher
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Abstract

Equipped with the recently recognized symmetry structure of mixed states of matter and "strong-weak spontaneous symmetry breaking" (SW-SSB), we develop a quantum particle-vortex duality of emergent model-F and model-A hydrodynamics of 2d boson/rotor systems. This duality relation demonstrates that classical hydrodynamics of 2d bosons can be described in terms of the charge symmetry U(1)c, but also equivalently in terms of the dual (emergent) 1-form symmetry U(1)(1)e, as well as U(1)v associated with the conservation of vortices. This duality provides a bridge between the hydrodynamics of matter and magnetohydrodynamics.

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Cite

BibTeXRIS
BibTeX
@misc{xu2026particlevortex,
  title = {{Particle-Vortex Duality of Hydrodynamics}},
  author = {Cenke Xu and Matthew P. A. Fisher},
  howpublished = {arXiv},
  year = {2026},
  month = aug,
  doi = {10.48550/arxiv.2608.02732},
  eprint = {2608.02732},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.02732},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Particle-Vortex Duality of Hydrodynamics
AU  - Cenke Xu
AU  - Matthew P. A. Fisher
PY  - 2026
DA  - 2026/08/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.02732
UR  - https://arxiv.org/abs/2608.02732
AB  - Equipped with the recently recognized symmetry structure of mixed states of matter and "strong-weak spontaneous symmetry breaking" (SW-SSB), we develop a quantum particle-vortex duality of emergent model-F and model-A hydrodynamics of 2d boson/rotor systems. This duality relation demonstrates that classical hydrodynamics of 2d bosons can be described in terms of the charge symmetry U(1)_c, but also equivalently in terms of the dual (emergent) 1-form symmetry U(1)^(1)_e, as well as U(1)_v associated with the conservation of vortices. This duality provides a bridge between the hydrodynamics of matter and magnetohydrodynamics.
ER  -