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 …

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 …

In recent years, transition metal dichalcogenides (TMDs) have garnered great interest as
topological materials. In particular, monolayers of centrosymmetric β-phase TMDs have …

We show how a finite number of conservation laws can globally “shatter” Hilbert space into
exponentially many dynamically disconnected subsectors, leading to an unexpected …

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 …

Dirac and Weyl semimetals both exhibit arc-like surface states. However, whereas the
surface Fermi arcs in Weyl semimetals are topological consequences of the Weyl points …

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 …