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 explore non-invertible symmetries in two-dimensional lattice models with subsystem
$\mathbb Z_2 $ symmetry. We introduce a subsystem $\mathbb Z_2 $-gauging procedure …

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 …

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 …

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 …

We reformulate known exotic theories (including theories of fractons) on a Euclidean
spacetime lattice. We write them using the Villain approach, and then we modify them to a …

We study't Hooft anomalies and the related anomaly inflow for subsystem global symmetries.
These symmetries and anomalies arise in a number of exotic systems, including models 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 …