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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 …

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 …

Fractons emerge from many-body systems, featuring subdimensional particles with
restricted mobility. These particles have attracted interest for their roles across disciplines …

Modulated symmetries are internal symmetries that act in a non-uniform, spatially modulated
way and are generalizations of, for example, dipole symmetries. In this paper, we …

We consistently couple simple continuum field theories with fracton excitations to curved
spacetime backgrounds. We consider homogeneous and isotropic fracton field theories, with …

Multipole symmetries are of interest both as a window on fracton physics and as a crucial
ingredient in realizing new universality classes for quantum dynamics. Here we address the …

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 investigate the physics of one-dimensional symmetry-protected topological (SPT)
phases protected by symmetries whose symmetry generators exhibit spatial modulation. We …

A bstract We generalize the idea of symmetry topological field theory (SymTFT) for
subsystem symmetry. We propose the 2-foliated BF theory with level N in (3+ 1) d as …