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 …

Due to the recent studies of the fracton topological phases, the host of which deconfined
quasiparticle excitations with mobility restrictions, the concept of symmetries has been …

There has been proposed two continuum descriptions of fracton systems: foliated quantum
field theories (FQFTs) and exotic quantum field theories. Certain fracton systems are …

A bstract We study the mixed't Hooft anomaly of the subsystem symmetries in the exotic BF
theory and the foliated BF theory in 2+ 1 dimensions, both of which are fractonic quantum …

We introduce a ZN stabilizer code that can be defined on any spatial lattice of the form Γ× CL
z, where Γ is a general graph. We also present the low-energy limit of this stabilizer code as …

Subsystem symmetry has emerged as a powerful organizing principle for unconventional
quantum phases of matter, most prominently fracton topological orders. Here, we focus on a …

We review recent progress and a number of future directions for applications of effective field
theory methods to condensed matter systems broadly defined. Our emphasis is on areas …

A bstract We study various non-relativistic field theories with exotic symmetries called
subsystem symmetries, which have recently attracted much attention in the context of …

We introduce two exotic lattice models on a general spatial graph. The first one is a matter
theory of a compact Lifshitz scalar field, while the second one is a certain rank-2 U (1) gauge …