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 …

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 …

Fractons emerge from many-body systems, featuring subdimensional particles with
restricted mobility. These particles have attracted interest for their roles across disciplines …

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 …

The presence of global conserved quantities in interacting systems generically leads to
diffusive transport at late times. Here, we show that systems conserving the dipole moment …

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 …

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 …

Motivated by recent discussions of fractons, we explore nonrelativistic field theories with a
continuous global symmetry, whose charge is a spatial vector. We present several such …

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 …