AUTHOR=Grosvenor Kevin T. , Hoyos Carlos , Peña-Benítez Francisco , Surówka Piotr 

TITLE=Space-Dependent Symmetries and Fractons

JOURNAL=Frontiers in Physics

VOLUME=9

YEAR=2022

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2021.792621

DOI=10.3389/fphy.2021.792621

ISSN=2296-424X

ABSTRACT=<p>There has been a surge of interest in effective non-Lorentzian theories of excitations with restricted mobility, known as fractons. Examples include defects in elastic materials, vortex lattices or spin liquids. In the effective theory novel coordinate-dependent symmetries emerge that shape the properties of fractons. In this review we will discuss these symmetries, cover the effective description of gapless fractons via elastic duality, and discuss their hydrodynamics.</p>