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 …

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

We study a simple model of interacting bosons on ad-dimensional cubic lattice whose
dynamics conserves both total boson number and total boson dipole moment. This model …

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 …

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 …

We study the quantum phase diagram of a Bose-Hubbard chain whose dynamics conserves
both a boson number and boson dipole moment, a situation which can arise in strongly tilted …

Multipole symmetries are of interest both as a window on fracton physics and as a crucial
ingredient in realizing new universality classes for quantum dynamics. Here we address the …

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

We introduce a new kind of foliated quantum field theory (FQFT) of gapped fracton orders in
the continuum. FQFT is defined on a manifold with a layered structure given by one or more …