In this lecture note, we give a basic introduction to the rapidly developing concepts of
generalized symmetries, from the perspectives of both high energy physics and condensed …

We determine the d+ 1 dimensional topological field theory, which encodes the higher-form
symmetries and their't Hooft anomalies for d-dimensional QFTs obtained by compactifying M …

A bstract Five-and four-dimensional superconformal field theories with eight supercharges
arise from canonical threefold singularities in M-theory and Type IIB string theory …

A bstract Canonical threefold singularities in M-theory and Type IIB string theory give rise to
superconformal field theories (SCFTs) in 5d and 4d, respectively. In this paper, we study …

We describe a new correspondence between four-dimensional conformal field theories with
extended supersymmetry and two-dimensional chiral algebras. The meromorphic …

A bstract We study higher-form symmetries in 5d quantum field theories, whose charged
operators include extended operators such as Wilson line and't Hooft operators. We outline …

A bstract We provide a general formula for the partition function of three-
dimensional\(\mathcal {N}= 2\) gauge theories placed on S 2× S 1 with a topological twist …

Starting with a gentle approach to the Alday–Gaiotto–Tachikawa (AGT) correspondence
from its 6d origin, these notes provide a wide (albeit shallow) survey of the literature on …

Orbifold singularities of M-theory constitute the building blocks of a broad class of
supersymmetric quantum field theories (SQFTs). In this paper we show how the local data of …

A bstract We describe general methods for determining higher-form symmetry groups of
known 5d and 6d superconformal field theories (SCFTs), and 6d little string theories (LSTs) …