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 …

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 …

We show that the combination of charge and dipole conservation—characteristic of fracton
systems—leads to an extensive fragmentation of the Hilbert space, which, in turn, can lead …

We study field theories with global dipole symmetries and gauge dipole symmetries. The
famous Lifshitz theory is an example of a theory with a global dipole symmetry. We study in …

We discuss nonstandard continuum quantum field theories in 2+ 1 dimensions. They exhibit
exotic global symmetries, a subtle spectrum of charged excitations, and dualities similar to …

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 …

We extend our exploration of nonstandard continuum quantum field theories in 2+ 1
dimensions to 3+ 1 dimensions. These theories exhibit exotic global symmetries, a peculiar …

We continue our exploration of exotic, gapless lattice and continuum field theories with
subsystem global symmetries. In an earlier paper, we presented free lattice models enjoying …