$K$-theoretic Hall algebras and Coulomb branches
Representation Theory
2026-05-20 v1 High Energy Physics - Theory
Mathematical Physics
Algebraic Geometry
math.MP
Quantum Algebra
Abstract
We construct a surjective homomorphism from the (suitably interpreted) double loop-nilpotent -theoretic Hall algebra to the Coulomb branch algebra of a quiver gauge theory, using the shuffle algebra interpretation.
Cite
@article{arxiv.2605.19487,
title = {$K$-theoretic Hall algebras and Coulomb branches},
author = {Shivang Jindal and Andrei Neguţ},
journal= {arXiv preprint arXiv:2605.19487},
year = {2026}
}