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 …

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 …

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 …

Monopoles are intriguing topological objects, which play a central role in gauge theories
and topological states of matter. While conventional monopoles are found in odd …

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 …

Given a gapped boundary of a (3+ 1)-dimensional [(3+ 1) D] topological order (TO), one can
stack on it a decoupled (2+ 1) D TO to get another boundary theory. Should one view these …

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 …

We study the boundary states of the archetypal three dimensional topological order, ie the
three dimensional $\mathbb {Z} _2 $ toric code. There are three distinct elementary types of …