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 …

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 …

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 …

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

A bstract We develop a Schwinger-Keldysh effective field theory describing the
hydrodynamics of a fluid with conserved charge and dipole moments, together with …

Fractons are gapped pointlike excitations in d= 3 topological ordered phases whose motion
is constrained. They have been discovered in several gapped models but a unifying …