Communications in Mathematical Physics

, Volume 296, Issue 2, pp 405–428 | Cite as

The ADHM Construction and Non-local Symmetries of the Self-dual Yang–Mills Equations

  • James D. E. GrantEmail author


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.


Modulus Space Vector Bundle Symmetry Algebra Embed Line Instanton Solution 
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© Springer-Verlag 2010

Authors and Affiliations

  1. 1.Fakultät für MathematikUniversität WienWienAustria

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