Particle-Vortex Duality of Hydrodynamics

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.

Strongly Correlated Electrons (cond-mat.str-el); Quantum Physics (quant-ph)

arXiv:2608.02732 [cond-mat.str-el]

(or arXiv:2608.02732v1 [cond-mat.str-el] for this version)

https://doi.org/10.48550/arXiv.2608.02732 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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