Affiliation:
1. University of Colorado Boulder
Abstract
We extend recent work on hydrodynamics with global multipolar
symmetries — known as “fracton hydrodynamics” — to systems in which the
multipolar symmetries are gauged. We refer to the latter as “fracton
magnetohydrodynamics”, in analogy to conventional magnetohydrodynamics
(MHD), which governs systems with gauged charge conservation. We show
that fracton MHD arises naturally from higher-rank Maxwell’s equations
and in systems with one-form symmetries obeying certain constraints;
while we focus on “minimal” higher-rank generalizations of MHD that
realize diffusion, our methods may also be used to identify other, more
exotic hydrodynamic theories (e.g., with magnetic subdiffusion). In
contrast to semi-microscopic derivations of MHD, our approach elucidates
the origin of the hydrodynamic modes by identifying the corresponding
higher-form symmetries. Being rooted in symmetries, the hydrodynamic
modes may persist even when the semi-microscopic equations no longer
provide an accurate description of the system.
Funder
Alfred P. Sloan Foundation
Gordon and Betty Moore Foundation
National Science Foundation
Simons Foundation
U.S. Department of Defense
United States Department of Energy
Subject
General Physics and Astronomy
Cited by
5 articles.
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