Sinh Deformed Nakajima Operators
High Energy Physics - Theory
2025-10-16 v2
Abstract
We prove a novel action of the (three-dimensional) Heisenberg algebra on the equivariant K-theory of the Hilbert scheme of points on C2. These operators are defined via pushforwards and pullbacks via the Nakajima correspondences while tensoring the square roots of the canonical line bundles of the correspondences. We show, using supersymmetric localisation in 6d (1, 1) Super Yang-Mills compactified on a circle, that these operators correspond to instanton line operators wrapping the extra circle.
Cite
@article{arxiv.2505.06075,
title = {Sinh Deformed Nakajima Operators},
author = {Boan Zhao and Paul Luis Roehl and Chunhao Li},
journal= {arXiv preprint arXiv:2505.06075},
year = {2025}
}