We introduce the shifted quantum affine algebras. They map homomorphically into the
quantized K-theoretic Coulomb branches of 3 d N= 4 3 d {\mathcal N= 4 SUSY quiver gauge …

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 develop the representation theory of shifted quantum affine algebras and of their
truncations, which appeared in the study of quantized K-theoretic Coulomb branches of 3d …

We study a coproduct in type A quantum open Toda lattice in terms of a coproduct in the
shifted Yangian of sl 2. At the classical level this corresponds to the multiplication of …

Given a representation N of a reductive group G, Braverman–Finkelberg–Nakajima have
defined a remarkable Poisson variety called the Coulomb branch. Their construction of this …

Starting from a finite-dimensional representation of the Yangian Y (g) Y (g) for a simple Lie
algebra gg in Drinfeld's original presentation, we construct a Hopf algebra X _ I (g) XI (g) …

Symplectic resolutions are an exciting new frontier of research in representation theory. One
of the most fascinating aspects of this study is symplectic duality: the observation that these …

Truncated shifted Yangians are a family of algebras which naturally quantize slices in the
affine Grassmannian. These algebras depend on a choice of two weights λ and μ for a Lie …

The Hikita conjecture relates the coordinate ring of a conical symplectic singularity to the
cohomology ring of a symplectic resolution of the dual conical symplectic singularity. We …

We develop a theory of parabolic induction and restriction functors relating modules over
Coulomb branch algebras, in the sense of Braverman-Finkelberg-Nakajima. Our functors …