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 construct stable envelopes in equivariant elliptic cohomology of Nakajima quiver
varieties. In particular, this gives an elliptic generalization of the results of Maulik and …

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 present new analytic results on black hole perturbation theory. Our results are based on
a novel relation to four-dimensional N= 2 N= 2 supersymmetric gauge theories. We propose …

A bstract We study various non-perturbative approaches to the quantization of the Seiberg-
Witten curve of\(\mathcal {N}\)= 2, SU (2) super Yang-Mills theory, which is closely related to …

This is an introductory review to localization techniques in supersymmetric two-dimensional
gauge theories. In particular, we describe how to construct Lagrangians of $\newcommand …

A bstract We conjecture that for superconformal field theories in even dimensions, the
supersymmetric Casimir energy on a space with topology S 1× SD− 1 is equal to an …

Quantum field theory L_1 L 1 on spacetime X_ 1 X 1 can be coupled to another quantum
field theory L_2 L 2 on a spacetime X_ 2 X 2 via the third quantum field theory L_ 12 L 12 …

A bstract We propose an explicit description of “duality walls” which encode at low energy
the global symmetry enhancement expected in the UV completion of certain five …

A bstract We study two-dimensional\(\mathcal {N}=\left (2,\; 2\right)\) supersymmetric gauged
linear sigma models (GLSM) on the Ω-deformed sphere, S 2 Ω, which is a one-parameter …