We propose a general framework to characterize gapped infra-red (IR) phases of theories
with non-invertible (or categorical) symmetries. In this paper we focus on (1+ 1) d gapped …

The global symmetries of a D-dimensional quantum field theory (QFT) can, in many cases,
be captured in terms of a (D+ 1)-dimensional symmetry topological field theory (SymTFT). In …

We study the holographic dual of a topological symmetry operator in the context of the
AdS/CFT correspondence. Symmetry operators arise from topological field theories …

We explore exact generalized symmetries in the standard 2+ 1d lattice $\mathbb {Z} _2 $
gauge theory coupled to the Ising model, and compare them with their continuum field …

Noninvertible symmetries of quantum field theories and many-body systems generalize the
concept of symmetries by allowing noninvertible operations in addition to more ordinary …

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 …

Noninvertible symmetries in quantum field theory (QFT) generalize the familiar product rule
of groups to a more general fusion rule. In many cases, gauged versions of these …

Generalized global symmetries are a common feature of many quantum field theories
decoupled from gravity. By contrast, in quantum gravity/the Swampland program, it is widely …

We propose a top-down approach to noninvertible symmetries in two-dimensional quantum
field theories and their three-dimensional (3D) associated symmetry topological field …

Spontaneous breaking of symmetries leads to universal phenomena. We extend this notion
to $(-1) $-form U (1) symmetries. The spontaneous breaking is diagnosed by a dependence …