Abstract Six-dimensional (6D) superconformal field theories (SCFTs) occupy a central place
in the study of quantum field theories encountered in high energy theory. This article reviews …

A bstract We test various conjectures about quantum gravity for six-dimensional string
compactifications in the framework of F-theory. Starting with a gauge theory coupled to …

A bstract We examine six-dimensional quantum field theories through the lens of higher-
form global symmetries. Every Yang-Mills gauge theory in six dimensions, with field strength …

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 …

A bstract We explore the geometrical structure of Higgs branches of quantum field theories
with 8 supercharges in 3, 4, 5 and 6 dimensions. They are symplectic singularities, and as …

A bstract We study 6d superconformal field theories (SCFTs) compactified on a circle with
arbitrary twists. The theories obtained after compactification, often referred to as 5d Kaluza …

A bstract We systematically analyse 5d superconformal field theories (SCFTs) obtained by
dimensional reduction from 6d\(\mathcal {N}\)=(1, 0) SCFTs. Such theories have a …

We determine the 2-group structure constants for all the six-dimensional little string theories
(LSTs) geometrically engineered in F-theory without frozen singularities. We use this result …

A bstract We analyse the Weak Gravity Conjecture for chiral four-dimensional F-theory
compactifications with N= 1 supersymmetry. Extending our previous work on nearly …

A bstract We begin a study of the Higgs branch of six-dimensional (1, 0) little string theories
governing the worldvolumes of heterotic ALE instantons. We give a description of this space …