Symmetric Instantons and Discrete Hitchin Equations
Mathematical Physics
2016-02-12 v2 High Energy Physics - Theory
math.MP
Exactly Solvable and Integrable Systems
Abstract
Self-dual Yang-Mills instantons on correspond to algebraic ADHM data. The ADHM equations for -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 -symmetric instantons gives an integrable two-dimensional lattice system, which may be viewed as a discrete version of the Hitchin equations.
Cite
@article{arxiv.1509.09128,
title = {Symmetric Instantons and Discrete Hitchin Equations},
author = {R. S. Ward},
journal= {arXiv preprint arXiv:1509.09128},
year = {2016}
}
Comments
9 pages, 1 figure, simplified version, accepted for publication in Journal of Integrable Systems