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arXiv · 1712.10228

Classical Integrable Systems and Gauge Theory

Masashi Hamanaka
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Abstract

This is an introductory survey written in Japanese on classical integrability from the viewpoint of symmetry reduction of 4-dimensional anti-self-dual Yang-Mills equations. Twistor construction methods are discussed in detail in 4-dimension. Exact local solutions are, in this article, presented in terms of quasideterminants in a compact form. Some integrable aspects in lower-dimension are clarified in the context of the reduction. Noncommutative extension and higher-dimensional extension are briefly discussed.

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Masashi Hamanaka. 2017-12-29. Classical Integrable Systems and Gauge Theory. https://arxiv.org/abs/1712.10228

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