Instantons on flat space: explicit constructions

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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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
Subjects: Mathematics
Related URLs:
Depositing User: Thomas Madsen
Date Deposited: 25 Apr 2022 09:21
Last Modified: 26 Apr 2022 12:35
URI: http://repository.uwl.ac.uk/id/eprint/8991

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