Skip to main content

Research Repository

Advanced Search

Symmetric Instantons and Discrete Hitchin Equations

Ward, R.S.

Symmetric Instantons and Discrete Hitchin Equations Thumbnail


Authors

R.S. Ward



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 Mar 29, 2024
Journal Journal of Integrable Systems
Publisher Oxford University Press
Peer Reviewed Peer Reviewed
Volume 1
Issue 1
Article Number xyw001
DOI https://doi.org/10.1093/integr/xyw001
Related Public URLs http://arxiv.org/abs/1509.09128

Files

Published Journal Article (Advance online version) (235 Kb)
PDF

Publisher Licence URL
http://creativecommons.org/licenses/by/4.0/

Copyright Statement
Advance online version © 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.





You might also like



Downloadable Citations