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

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

2008-12-10

arxiv.org/abs/0812.2005v2

Commun.Math.Phys.296:405-428,2010

Physics

Mathematical Physics

AMSLatex, 19 pages, no figures. Some discussions clarified, and citations made more accurate. I am grateful to the referee for

Scientific paper

10.1007/s00220-010-1024-9

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.

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