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Symmetric instantons and discrete Hitchin equations.

Ward, R.S. (2016) 'Symmetric instantons and discrete Hitchin equations.', Journal of integrable systems., 1 (1). xyw001.

Abstract

Self-dual Yang–Mills instantons on correspond to algebraic ADHM data. The ADHM equations for [Math Processing Error]-symmetric instantons give a one-dimensional integrable lattice system, which may be viewed as an discretization of the Nahm equations. In this note, we see that generalized ADHM data for [Math Processing Error]-symmetric instantons give an integrable two-dimensional lattice system, which may be viewed as a discrete version of the Hitchin equations.

Item Type:Article
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1093/integr/xyw001
Publisher statement:© The authors 2016. Published by Oxford University Press. All rights reserved. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
Date accepted:10 February 2016
Date deposited:14 April 2016
Date of first online publication:06 April 2016
Date first made open access:14 April 2016

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