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 …

Fracton phases constitute a new class of quantum state of matter. They are characterized by
excitations that exhibit restricted mobility, being either immobile under local Hamiltonian …

We introduce new classes of hydrodynamic theories inspired by the recently discovered
fracton phases of quantum matter. Fracton phases are characterized by elementary …

Motivated by recent studies of fractons, we demonstrate that elasticity theory of a two-
dimensional quantum crystal is dual to a fracton tensor gauge theory, providing a concrete …

In this work, we introduce a new type of topological order that is protected by subsystem
symmetries that act on lower-dimensional subsets of lattice many-body system, eg, along …

We study the spreading of initially local operators under unitary time evolution in a one-
dimensional random quantum circuit model that is constrained to conserve a U (1) charge …

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 …

Fracton models, a collection of exotic gapped lattice Hamiltonians recently discovered in
three spatial dimensions, contain some “topological” features: They support fractional bulk …

Hydrodynamics is a universal effective theory that describes the thermalization of chaotic
many-body systems, and depends only on the symmetries of the underlying theory. Although …

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 …