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 …

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 …

It has recently been shown that there exists a class of stable gapless spin liquids in 3+ 1
dimensions described by higher-rank tensor U (1) gauge fields, giving rise to an emergent …

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 …

Spin liquids are conventionally described by gauge theories with a vector gauge field.
However, there exists a wider class of spin liquids with higher rank tensors as the gauge …

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

We investigate relaxation in the recently discovered “fracton” models and discover that these
models naturally host glassy quantum dynamics in the absence of quenched disorder. We …

Based on several previous examples, we summarize explicitly the general procedure to
gauge models with subsystem symmetries, which are symmetries with generators that have …