Sinh Deformed Nakajima Operators

Fuente: arXiv
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Autores principales: Zhao, Boan, Roehl, Paul Luis, Li, Chunhao
Formato: Preprint
Publicado: 2025
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author Zhao, Boan
Roehl, Paul Luis
Li, Chunhao
author_facet Zhao, Boan
Roehl, Paul Luis
Li, Chunhao
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2505_06075
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Sinh Deformed Nakajima Operators
Zhao, Boan
Roehl, Paul Luis
Li, Chunhao
High Energy Physics - Theory
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.
title Sinh Deformed Nakajima Operators
topic High Energy Physics - Theory
url https://arxiv.org/abs/2505.06075