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

TITLE=Space-Dependent Symmetries and Fractons

JOURNAL=Frontiers in Physics

VOLUME=Volume 9 - 2021

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