It was recently argued that quantum field theories possess one‐form and higher‐form
symmetries, labelled 'generalized global symmetries.'In this paper, we describe how those …

Orbifolds of two-dimensional quantum field theories have a natural formulation in terms of
defects or domain walls. This perspective allows for a rich generalisation of the orbifolding …

Trivially-acting symmetries in two-dimensional conformal field theory include twist fields of
dimension zero which are local topological operators. We investigate the consequences of …

A bstract In this paper we study three-dimensional orbifolds by 2-groups with a trivially-
acting one-form symmetry group BK. These orbifolds have a global two-form symmetry, and …

We introduce the notion of n–dimensional topological quantum field theory (TQFT) with
defects as a symmetric monoidal functor on decorated stratified bordisms of dimension n …

We develop a general theory of 3-dimensional``orbifold completion'', to describe
(generalised) orbifolds of topological quantum field theories as well as all their defects …

Orbifolding two-dimensional quantum field theories by a symmetry group can involve a
choice of discrete torsion. We apply the general formalism of 'orbifolding defects' to study …

We initiate a systematic study of 3-dimensional 'defect'topological quantum field theories,
that we introduce as symmetric monoidal functors on stratified and decorated bordisms. For …

We construct three classes of generalised orbifolds of Reshetikhin-Turaev theory for a
modular tensor category $\mathcal {C} $, using the language of defect TQFT from [arXiv …

These notes offer an introduction to the functorial and algebraic description of 2-dimensional
topological quantum field theorieswith defects', assuming only superficial familiarity with …