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 …

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 …

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 …

We investigate how symmetry and topological order are coupled in the (2+ 1)–dimensional
ZN rank-2 toric code for general N, which is an exactly solvable point in the Higgs phase of a …

The emerging study of fractons, a new type of quasi‐particle with restricted mobility, has
motivated the construction of several classes of interesting continuum quantum field theories …

Weight systems on chord diagrams play a central role in knot theory and Chern–Simons
theory; and more recently in stringy quantum gravity. We highlight that the noncommutative …

Finding suitable indicators for characterizing quantum phase transitions plays an important
role in understanding different phases of matter. It is especially important for fracton phases …

Unlike ordinary topological quantum phases, fracton orders are intimately dependent on the
underlying lattice geometry. In this work, we study a generalization of the X-cube model …

We reveal a low-temperature duality between the hyperbolic lattice model featuring fractons
and infinite decoupled copies of Zabrodin's $ p $-adic model of AdS/CFT. The core of the …

Large-scale gravitational phenomena are famously difficult to observe, making parallels in
condensed matter physics a valuable resource. Here we show how spin nematic phases …