Space-dependent symmetries and fractons

Understand

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.