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 …

We study the N= 2 four-dimensional superconformal index in various interesting limits, such
that only states annihilated by more than one supercharge contribute. Extrapolating from the …

A bstract In this work, we explore an extension of Hilbert series techniques to count
operators that include derivatives. For sufficiently low-derivative operators, we conjecture an …

A bstract This paper addresses a long standing problem-to identify the chiral ring and moduli
space (ie as an algebraic variety) on the Coulomb branch of an\(\mathcal {N}\)= 4 …

A bstract We study three-dimensional\(\mathcal {N}\)= 2 supersymmetric gauge theories on Σ
g× S 1 with a topological twist along Σ g, a genus-g Riemann surface. The twisted …

This paper presents the Hilbert series technique to a wider audience in the context of
constructing group-invariant Lagrangians. This technique provides a fast way to calculate …

A bstract The analytic properties of the\(\mathcal {N}= 2\) superconformal index are given a
physical interpretation in terms of certain BPS surface defects, which arise as the IR limit of …

A bstract Using the production of a Higgs boson in association with a W boson as a test
case, we assess the impact of dimension-8 operators within the context of the Standard …

A bstract Four-dimensional\(\mathcal {N}\)= 2 superconformal field theories have families of
protected correlation functions that possess the structure of two-dimensional chiral algebras …

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 …