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 …

A bstract We sharpen Swampland constraints on 8d supergravity theories by studying
consistency conditions on worldvolume theory of 3-brane probes. Combined with a stronger …

A bstract We initiate a systematic study of four dimensional\(\mathcal {N}\)= 2
superconformal field theories (SCFTs) based on the analysis of their Coulomb branch …

A bstract This is the third in a series of three papers on the systematic analysis of rank 1 four
dimensional\(\mathcal {N}\)= 2 SCFTs. In the first two papers [1, 2] we developed and carried …

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 study the stratification of the singular locus of four dimensional\(\mathcal {N}\)=
2 Coulomb branches. We present a set of self-consistency conditions on this stratification …

A bstract In this paper we begin mapping out the space of rank-2\(\mathcal {N}\)= 2
superconformal field theories (SCFTs) in four dimensions. This represents an ideal set of …

We give an elementary proof of the following property of unitary, interacting four-dimensional
N= 2 superconformal field theories: At large central charge c, there exist at least c single …

A bstract There is a well-known map from 4d\(\mathcal {N}\)= 2 superconformal field theories
(SCFTs) to 2d vertex operator algebras (VOAs). The 4d Schur index corresponds to the VOA …