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Lotay, Jason D. and Madsen, Thomas 
ORCID: https://orcid.org/0000-0001-9354-0935
(2022)
Instantons on flat space: explicit constructions.
arXiv.
(Submitted)
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Official URL: https://doi.org/10.48550/arXiv.2204.11517
Abstract
In this note, we revisit some well-known examples of instantons on flat space that were originally discovered in the physics literature. In particular, we explain how the basic instanton on $\mathbb{R}^4$, with its flat hyperkaehler structure, has natural generalisations to $\mathbb{R}^7$ and $\mathbb{R}^8$ viewed as flat $G_2$- and Spin(7)-manifolds, respectively. We also provide the details of an arguably less known construction of ASD instantons on $\mathbb{H}^n$, in the sense of quaternionic geometry.
| Item Type: | Article |
|---|---|
| Identifier: | 10.48550/arXiv.2204.11517 |
| Subjects: | Mathematics |
| Related URLs: | |
| Depositing User: | Thomas Madsen |
| Date Deposited: | 25 Apr 2022 09:21 |
| Last Modified: | 06 Feb 2024 16:10 |
| URI: | https://repository.uwl.ac.uk/id/eprint/8991 |
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