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 discuss the origin of the choice of global structure for six dimensional (2, 0)
theories and their compactifications in terms of their realization from IIB string theory on ALE …

Basics of the instanton counting and its relation to W-algebras are reviewed, with an
emphasis toward physics ideas. We discuss the case of U (N) gauge group on R^ 4 to some …

A four-dimensional analog of Chern-Simons theory produces integrable lattice models from
Wilson lines and surface operators. We show that this theory describes a quasi-topological …

We present a correspondence between two-dimensional N=(2, 2) supersymmetric gauge
theories and rational integrable gl (m| n) spin chains with spin variables taking values in …

A bstract We analyze\(\mathcal {N}= 1\) theories on S 5 and S 4× S 1, showing how their
partition functions can be written in terms of a set of fundamental 5d holomorphic blocks. We …

Abstract We study Yang–Baxter deformations of the ${\mathrm {AdS}} _ {5}\times {S}^{5} $
superstring with non-Abelian classical r-matrices which satisfy the homogeneous classical …

We study mass‐deformed N= 2 gauge theories from various points of view. Their partition
functions can be computed via three dual approaches: firstly,(p, q)‐brane webs in type II …

A bstract We consider certain quantum spectral problems appearing in the study of local
Calabi-Yau geometries. The quantum spectrum can be computed by the Bohr-Sommerfeld …

We promote the open-closed string map, originally formulated by Seiberg & Witten, to a
solution generating prescription in generalized supergravity. The approach hinges on a …