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 consider symmetry protected topological (SPT) phases with finite non-invertible
symmetry $\mathcal {C} $ in 1+ 1d. In particular, we investigate interfaces and …

Lattice non-invertible symmetries have rich fusion structures and play important roles in
understanding various exotic topological phases. In this paper, we explore methods to …

Dualities of quantum field theories are challenging to realize in lattice models of qubits. In
this work, we explore one of the simplest dualities, T-duality of the compact boson CFT, and …

Projective symmetries are ubiquitous in quantum lattice models and can be leveraged to
constrain their phase diagram and entanglement structure. In this paper, we investigate the …

We investigate fractionalization of non-invertible symmetry in (2+ 1) D topological orders. We
focus on coset non-invertible symmetries obtained by gauging non-normal subgroups of …

Categorical symmetries have recently been shown to generalize the classification of phases
of matter, significantly broadening the traditional Landau paradigm. To test these …

Spatially modulated symmetries have emerged since the discovery of fractons, which
characterize unconventional topological phases with mobility-constrained quasiparticle …

For a class of two-dimensional Euclidean lattice field theories admitting topological lines
encoded into a spherical fusion category, we explore aspects of their realisations as …

Symmetries of quantum field theories are characterized by topological defects/operators
organized into a higher category. In this paper we consider the Axion-Maxwell field theory in …