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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2505.06075 |
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| _version_ | 1866917014486908928 |
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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 |