We present a framework to systematically investigate higher categorical symmetries in two-
dimensional spin systems. Though exotic, such generalised symmetries have been shown …

Non-Hermitian nodal knot metals (NKMs) contain intricate complex-valued energy bands
which give rise to knotted exceptional loops and new topological surface states. We …

Abstract Topological Quantum Field Theories (TQFTs) pertinent to some emergent low
energy phenomena of condensed matter lattice models in 2+ 1 and 3+ 1 dimensions are …

Four-dimensional (4D) topological insulators, which are impossible in real materials, have
attracted much attention by virtue of the recent progress achieved in quantum simulations of …

We study gapless phases in (3+ 1) d in the presence of 1-form and non-invertible duality
symmetries. Using the Symmetry Topological Field Theory (SymTFT) approach, we classify …

A bstract We use the intrinsic one-form and two-form global symmetries of (3+ 1) d bosonic
field theories to classify quantum phases enriched by ordinary (0-form) global symmetry …

A bstract In this work we propose a simple and systematic framework for including edge
modes in gauge theories on manifolds with boundaries. We argue that this is necessary in …

Symmetry fractionalization is a ubiquitous feature of topologically ordered states that can be
used to classify different symmetry-enriched topological phases and reveal some of their …

We use the Symmetry Topological Field Theory (SymTFT) to study and classify gapped
phases in (2+ 1) d for a class of categorical symmetries, referred to as being of bosonic type …

A bstract We show that the phase space of three-dimensional gravity contains two layers of
dualities: between diffeomorphisms and a notion of “dual diffeomorphisms” on the one hand …