These are a set of lecture notes on generalized global symmetries in quantum field theory.
The focus is on invertible symmetries with a few comments regarding non-invertible …

Important properties of a particle, wave or a statistical system depend on the form of a
dispersion relation (DR). Two commonly-discussed dispersion relations are the gapless …

A bstract We derive the Symmetry Topological Field Theories (SymTFTs) for 3d
supersymmetric quantum field theories (QFTs) constructed in M-theory either via geometric …

A bstract We analyze four-dimensional quantum field theories with continuous 2-group
global symmetries. At the level of their charges, such symmetries are identical to a product of …

We study how non-invertible self-duality defects arise in theories with a holographic dual.
We focus on the paradigmatic example of $\mathfrak {su}(N) $$\mathcal {N}= 4$ SYM. The …

Symmetry topological field theory (SymTFT) is a convenient tool for studying finite
generalized symmetries of a given quantum field theory (QFT). In particular, SymTFTs …

A bstract Three-dimensional Yang-Mills-Chern-Simons theory has the peculiar property that
its one-form symmetry defects have nontrivial braiding, namely they are charged under the …

A bstract Geometric engineering is a collection of tools developed to establish dictionaries
between local singularities in string theory and (supersymmetric) quantum fields. Extended …

We show that very simple theories of abelian gauge fields with a cubic Chern-Simons term
in 5d have an infinite number of non-invertible codimension two defects. They arise by …

A bstract We present a class of three-dimensional quantum field theories whose ordinary
global symmetries mix with higher-form symmetries to form a continuous 2-group. All these …