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 symmetries of quantum field theories involving topologically distinct
sectors of the field space. To exhibit these symmetries we define special gauge invariant …

We propose a construction for the quantum-corrected Coulomb branch of a general 3d
gauge theory with N= 4 N= 4 supersymmetry, in terms of local coordinates associated with …

We propose a general correspondence which associates a non-perturbative quantum-
mechanical operator to a toric Calabi–Yau manifold, and we conjecture an explicit formula …

Seiberg-Witten geometry of mass deformed $\mathcal N= 2$ superconformal ADE quiver
gauge theories in four dimensions is determined. We solve the limit shape equations …

A bstract Instanton partition functions of 5d\(\mathcal {N}= 1\) gauge theories are Witten
indices for the ADHM gauged quantum mechanics with (0, 4) SUSY. We derive the integral …

For a quiver with weighted arrows, we define gauge-theory K-theoretic W-algebra
generalizing the definition of Shiraishi et al. and Frenkel and Reshetikhin. In particular, we …

In this paper, provide a survey of recent studies of supergroup gauge theory. We first discuss
the supermatrix model as a zero-dimensional toy model of supergroup gauge theory and its …

A bstract We study compactification of 6 dimensional (1, 0) theories on T 2. We use
geometric engineering of these theories via F-theory and employ mirror symmetry …

A bstract We study the Nekrasov partition function of the five dimensional U (N) gauge theory
with maximal supersymmetry on ℝ 4× S 1 in the presence of codimension two defects. The …