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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 study the constraints of superconformal symmetry on codimension two defects
in four-dimensional superconformal field theories. We show that the one-point function of the …

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 conjecture that for superconformal field theories in even dimensions, the
supersymmetric Casimir energy on a space with topology S 1× SD− 1 is equal to an …

A bstract We give a microscopic two dimensional\(\mathcal {N}\)=(2, 2) gauge theory
description of arbitrary M2-branes ending on N f M5-branes wrapping a punctured Riemann …

A bstract We study a large class of BPS surface defects in 4d\(\mathcal {N}= 2\) gauge
theories. They are defined by coupling a 2d\(\mathcal {N}=\left ({2, 2}\right)\) gauged linear …

We investigate the unflavored Schur indices of class-S theories of modest rank, and in the
case of N= 4 super-Yang-Mills theory with a special unitary gauge group of somewhat more …

Every 4D N= 2 superconformal field theory T corresponds to an associated vertex operator
algebra V (T), which is in general nonrational with a more involved representation theory …

A four-dimensional analog of Chern-Simons theory produces integrable lattice models from
Wilson lines and surface operators. We show that this theory describes a quasi-topological …