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 …

There has been a surge of interest in effective non-Lorentzian theories of excitations with
restricted mobility, known as fractons. Examples include defects in elastic materials, vortex …

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 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 study complex scalar theories with dipole symmetry and uncover a no-go theorem that
governs the structure of such theories and which, in particular, reveals that a Gaussian …

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

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 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 …

A bstract We classify and relate unitary irreducible representations (UIRs) of the Carroll and
dipole groups, ie, we define elementary quantum Carroll and fracton particles and establish …

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 …