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 …

4D N= 2 superconformal field theories and their invariants can be often enriched by nonlocal
Bogomol'nyi-Prasad-Sommerfield operators. In this paper we study the flavored Schur index …

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 …

In this paper we analytically explore the modularity of the flavored Schur index of 4d N= 2
superconformal field theories. We focus on the A 1 theories of class-S and N= 4 theories with …

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 …

Flavored modular differential equations sometimes arise from null states or their
descendants in a chiral algebra with continuous flavor symmetry. In this paper we focus on …

Chiral algebra, localization, modularity, surface defects, and all that Page 1 Journal of
Mathematical Physics ARTICLE scitation.org/journal/jmp Chiral algebra, localization …

A bstract The Schur limit of the superconformal index of four-dimensional\(\mathcal {N}\)= 2
superconformal field theories has been shown to equal the supercharacter of the vacuum …