The ADHM construction and non-local symmetries of the self-dual Yang-Mills equations

Abstract

We consider the action on instanton moduli spaces of the non-local symmetries of the self-dual Yang-Mills equations on ${\mathbb{R}}^4$ discovered by Chau and coauthors. Beginning with the ADHM construction, we show that a sub-algebra of the symmetry algebra generates the tangent space to the instanton moduli space at each point. We explicitly find the subgroup of the symmetry group that preserves the one-instanton moduli space. This action simply corresponds to a scaling of the moduli space.

AMSLatex, 19 pages, no figures. Some discussions clarified, and citations made more accurate. I am grateful to the referee for detailed comments. Version to appear in Communications in Mathematical Physics

References in corpus (4)

• Self-Dual Yang-Mills: Symmetries and Moduli Space
• On Infinite-Dimensional Algebras of Symmetries of the Self-Dual Yang-Mills Equations
• How to find discrete contact symmetries
• Reducible connections and non-local symmetries of the self-dual Yang-Mills equations

Cited by in corpus (1)

• Reducible connections and non-local symmetries of the self-dual Yang-Mills equations