Symmetric Instantons and Discrete Hitchin Equations

Ward, R.S.

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.

Citation

Ward, R. (2016). Symmetric Instantons and Discrete Hitchin Equations. Journal of Integrable Systems, 1(1), Article xyw001. https://doi.org/10.1093/integr/xyw001

• Journal Article Type: Article
• Acceptance Date: Feb 10, 2016
• Online Publication Date: Apr 6, 2016
• Publication Date: Apr 1, 2016
• Deposit Date: Feb 12, 2016
• Publicly Available Date: Apr 14, 2016
• Journal: Journal of Integrable Systems
• Electronic ISSN: 2058-5985
• Publisher: Oxford University Press
• Peer Reviewed: Peer Reviewed
• Volume: 1
• Issue: 1
• Article Number: xyw001
• DOI: https://doi.org/10.1093/integr/xyw001
• Public URL: https://durham-repository.worktribe.com/output/1412205
• Related Public URLs: http://arxiv.org/abs/1509.09128