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 exhibit striking behavior which appears to render them beyond the standard
topological quantum field theory (TQFT) paradigm for classifying gapped quantum matter …

We demonstrate several explicit duality map**s between elasticity of two-dimensional
crystals and fracton tensor gauge theories, expanding on recent works by two of the present …

We classify subsystem symmetry-protected topological (SSPT) phases in 3+ 1 dimensions
(3+ 1 D) protected by planar subsystem symmetries: short-range entangled phases which …

We discuss the procedure for gauging on-site $\mathbb {Z} _2 $ global symmetries of three-
dimensional lattice Hamiltonians that permute quasi-particles and provide general …

The S-matrix invariant is known to be complete for translation invariant topological stabilizer
models in two spatial dimensions, as such models are phase equivalent to some number of …

We introduce a model of three-dimensional (3D) topological order enriched by planar
subsystem symmetries. The model is constructed starting from the 3D toric code, whose …

We employ strange correlators to detect 2D subsystem symmetry protected topological
(SSPT) phases which are nontrivial topological phases protected by subsystem symmetries …

In computer and system sciences, higher-order cellular automata (HOCA) are a type of
cellular automata that evolve over multiple time steps and generate complex patterns, which …

We investigate two-dimensional compactifications of three-dimensional fractonic stabilizer
models. We find the two-dimensional topological phases produced as a function of …