We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

Symmetric instantons and discrete Hitchin equations.

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


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
Full text:(VoR) Version of Record
Available under License - Creative Commons Attribution.
Download PDF (Advance online version)
Publisher Web site:
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 (, 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

Save or Share this output

Look up in GoogleScholar