Abstract “Do Carroll particles move?” The answer depends on the characteristics of the
particle such as its mass, spin, electric charge, and magnetic moment. A massive Carroll …

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

The relaxation behaviour of isolated quantum systems taken out of equilibrium is among the
most intriguing questions in many-body physics. Quantum systems out of equilibrium …

Classical spin liquids are paramagnetic phases that feature nontrivial patterns of spin
correlations within their ground-state manifold whose degeneracy scales with system size …

In theories with conserved dipole moment, isolated charged particles (fractons) are
immobile, but dipoles can move. We couple these dipoles to the fracton gauge theory and …

We present effective field theories for dipole symmetric topological matters that can be
described by the Chern-Simons theory. Unlike most studies using higher-rank gauge theory …

We explore the rich landscape of higher-form and non-invertible symmetries that emerge at
low energies in generic ordered phases. Using that their charge is carried by homotopy …

A bstract In recent years, the concept of global symmetry has generalized considerably. Two
dramatic examples of this generalization are the exotic symmetries that govern theories with …

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 …

Dipole-conserving fluids serve as examples of kinematically constrained systems that can
be understood on the basis of symmetry. They are known to display various exotic features …