Reduced quiver quantum toroidal algebras
High Energy Physics - Theory
2025-02-19 v4 Mathematical Physics
math.MP
Quantum Algebra
Abstract
We give a generators-and-relations description of the reduced versions of quiver quantum toroidal algebras, which act on the spaces of BPS states associated to (non-compact) toric Calabi-Yau threefolds X. As an application, we obtain a description of the K-theoretic Hall algebra of (the quiver with potential associated to) X, modulo torsion.
Keywords
Cite
@article{arxiv.2301.00703,
title = {Reduced quiver quantum toroidal algebras},
author = {Andrei Neguţ},
journal= {arXiv preprint arXiv:2301.00703},
year = {2025}
}