Fractons are a new type of quasiparticle which are immobile in isolation, but can often move
by forming bound states. Fractons are found in a variety of physical settings, such as spin …

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 …

Symmetry plays a central role in quantum field theory. Recent developments include
symmetries that act on defects and other subsystems, and symmetries that are categorical …

A powerful mechanism for constructing gauge theories is to start from a theory with a global
symmetry, then apply the “gauge principle,” which demands that this symmetry hold locally …

We study a simple model of interacting bosons on ad-dimensional cubic lattice whose
dynamics conserves both total boson number and total boson dipole moment. This model …

We present an effective field theory approach to the fracton phases. The approach is based
on the notion of a multipole algebra. It is an extension of space (time) symmetries of a …

Quantum many-body systems with fracton constraints are widely conjectured to exhibit
unconventional low-energy phases of matter. In this paper, we demonstrate the existence of …

Multipole symmetries are of interest both as a window on fracton physics and as a crucial
ingredient in realizing new universality classes for quantum dynamics. Here we address the …

Low-energy dynamics of many-body fracton excitations necessary to describe topological
defects should be governed by a novel type of hydrodynamic theory. We use a Poisson …

One-dimensional fracton systems can exhibit perfect localization, failing to reach thermal
equilibrium under arbitrary local unitary time evolution. We investigate how this nonergodic …