2026/08/03 by Cenke Xu, Matthew P. A. Fisher
Physics and Astronomy · #cond-mat.str-el #quant-ph
17 pages 1 figure
arxiv created 2026/08/03 · arxiv updated 2026/08/05
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.