Particle-Vortex Duality of Hydrodynamics
Cenke Xu, Matthew P. A. Fisher
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.
Create a lesson
Related papers
Exact and fast series expansions for quantum models with long-range interactions
Antonia Duft, Patrick Adelhardt, Jan Alexander Koziol et al.
Electronic correlations shape the low-energy optical response of the kagome antiferromagnets Mn3Sn and Mn3Ge
R. Mathew Roy, Bo Tai, Maxim Wenzel et al.
Orbital-Induced Peierls Transitions: How Orbitals Orchestrate Lattice Instability
T. Mizokawa, S. V. Streltsov
Optical investigation of the electronic structure of a ferromagnetic Weyl semimetal CeAlSi
Shin-ichi Kimura, Yue Pan, Hiroshi Watanabe et al.
Assessing the Reliability of Anomalous Hall Conductivity Extraction in GdAlSi
Anil Kumar, Debapratim Pal, Sudhan Koirala et al.
What does "instant thermalization" in large-q SYK models mean?
Alexander Osterkorn, Jan C. Louw