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 …

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 Every four-dimensional\(\mathcal {N}= 2\) superconformal field theory comes
equipped with an intricate algebraic invariant, the associated vertex operator algebra. The …

The Higgs branch of 4D N= 2 superconformal field theories can be analyzed via the Hilbert
series of the Higgs branch or, in special cases, by computing the Hall-Littlewood index. For …

The Schur limit of the superconformal index of a four-dimensional N= 2 superconformal field
theory encodes rich physical information about the protected spectrum of the theory. For a …

A bstract We define and study a class of\(\mathcal {N}\)= 2 vertex operator
algebras\({\mathcal {W}} _ {\mathrm {G}}\) labelled by complex reflection groups. They are …

Superconformal field theories (SCFTs) occupy a central role in the study of many aspects of
quantum field theory. In this white paper for the Snowmass process we give a brief overview …

A bstract We find\(\mathcal {N}\)= 1 Lagrangian gauge theories that flow to generalized
ArgyresDouglas theories with\(\mathcal {N}\)= 2 supersymmetry. We find that certain SU …

We study a set of four-dimensional N= 2 superconformal field theories (SCFTs) Γ^(G)
labeled by a pair of simply laced Lie groups Γ and G. They are constructed out of gauging a …

The 6D (2, 0) theory has codimension-one symmetry defects associated to the outer-
automorphism group of the underlying the simply-laced Lie algebra of ADE type. These …