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 provide a physical definition of new homological invariants ℋ a (M 3) of 3-manifolds
(possibly, with knots) labeled by abelian flat connections. The physical system in question …

Abstract By studying Rozansky-Witten theory with non-compact target spaces we find new
connections with knot invariants whose physical interpretation was not known. This opens …

We propose a way of computing 4-manifold invariants, old and new, as chiral correlation
functions in half-twisted 2d N=(0, 2) theories that arise from compactification of fivebranes …

A bstract We use Coulomb branch indices of Argyres-Douglas theories on S 1× L (k, 1) to
quantize moduli spaces\({\mathrm {\mathcal {M}}} _H\) of wild/irregular Hitchin systems. In …

We construct a new class of three-dimensional topological quantum field theories (3d
TQFTs) by considering generalized Argyres–Douglas theories on S 1× M 3 with a non-trivial …

We study (generalized) discrete symmetries of 2d semisimple TQFTs. These are 2d TQFTs
whose fusion rules can be diagonalized. We show that, in this special basis, the 0-form …

A bstract We study the supersymmetric partition function on S 1× L (r, 1), or the lens space
index of four-dimensional\(\mathcal {N}= 2\) superconformal field theories and their …

A bstract Given an\(\mathcal {N}= 2\) superconformal field theory, we reconsider the Schur
index ℐ L (q) in the presence of a half line defect L. Recently Cordova-Gaiotto-Shao found …

A bstract We study S-duality of Argyres-Douglas theories obtained by compactification of 6d
(2, 0) theories of ADE type on a sphere with irregular punctures. The weakly coupled …