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 examine the hydrodynamics of systems with spontaneously broken multipolar
symmetries using a systematic effective field theory. We focus on the simplest nontrivial …

We present a set of generalized quantum loop models that provably exhibit topologically
stable ergodicity breaking. These results hold for both periodic and open boundary …

We present a new route to ergodicity breaking via Hilbert space fragmentation that displays
an unprecedented level of robustness. Our construction relies on a single emergent …

Fractonic phases are new phases of matter that host excitations with restricted mobility. We
show that a certain class of gapless fractonic phases are realized as a result of spontaneous …

Systems with conserved dipole moment have drawn considerable interest in light of their
realization in recent experiments on tilted optical lattices. An important issue regarding such …

We present a theory of hydrodynamics for a vector U (1) charge in 2+ 1 dimensions, whose
rotational symmetry is broken to the point group of an equilateral triangle. We show that it is …

By mapping the calculation of Mazur bounds to the enumeration of walks on fractal
structures, we present exact bounds on the late-time behavior of spin autocorrelation …

By mapping the calculation of Mazur bounds to the enumeration of walks on fractal
structures, we present exact bounds on the late-time behavior of spin autocorrelation …

Multipole symmetries are of interest in multiple contexts, from the study of fracton phases, to
nonergodic quantum dynamics, to the exploration of new hydrodynamic universality classes …