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 …

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 …

The center-flavor symmetry of a gauge theory specifies the global form of consistent gauge
and flavor bundle background field configurations. For 6D gauge theories which arise from a …

A bstract Gauge-theoretic anomaly cancellation predicts the existence of many 6d SCFTs
and little string theories (LSTs) that have not been given a string theory construction so far. In …

We propose a geometric characterisation of the topological string partition functions
associated with the local Calabi–Yau (CY) manifolds used in the geometric engineering …

A bstract One of the hallmarks of 6D superconformal field theories (SCFTs) is that on a
partial tensor branch, all known theories resemble quiver gauge theories with links …

A bstract SCFTs in six dimensions are interrelated by networks of RG flows. Compactifying
such models on a Riemann surface with flux for the 6d global symmetry, one can obtain a …

A bstract A class of 4d\(\mathcal {N}= 3\) SCFTs can be obtained from gauging a discrete
subgroup of the global symmetry group of\(\mathcal {N}= 4\) Super Yang-Mills theory. This …

A bstract We investigate the interplay between the enumerative geometry of Calabi-Yau
fourfolds with fluxes and the modularity of elliptic genera in four-dimensional string theories …

We discuss certain structural analogies between supersymmetric quiver gauge theories and
lattice models leading to fracton phases of matter. In particular, classes of quiver models can …