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 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 …

A bstract We explore the difference Langlands correspondence using the four
dimensional\(\mathcal {N}\)= 2 super-QCD. Surface defects and surface observables play …

In exploring supersymmetric theories with eight supercharges, the Higgs branches present
an intriguing window into strong coupling dynamics. Magnetic quivers serve as crucial tools …

A bstract We study two types of surface observables− the Q-observables and the H-
observables− of the 4d\(\mathcal {N}\)= 2 A 1-quiver U (N) gauge theory obtained by …

A bstract We introduce several families of\(\mathcal {N}=\left (2,\2\right)\) UV boundary
conditions in 3d\(\mathcal {N}= 4\) gaugetheoriesandstudytheirIRimagesinsigma …

We conjecture, and prove for all simply-laced Lie algebras, an identification between the
spaces of $ q $-deformed conformal blocks for the deformed ${\mathcal W} $-algebra …

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 …

A bstract By incorporating higher-form symmetries, we propose a refined definition of the
theories obtained by compactification of the 6d (2, 0) theory on a three-manifold M 3. This …

A bstract We study the full moduli space of vacua of 6d worldvolume SCFTs on M5 branes
probing an A-type singularity, focusing on the geometric incarnation of the discrete gauging …