Reducible Connections and Non-local Symmetries of the Self-dual Yang–mills Equations

نویسنده

  • David E. Williams
چکیده

We construct the most general reducible connection that satisfies the self-dual Yang–Mills equations on a simply-connected, open subset of flat R. We show how all such connections lie in the orbit of the flat connection on R under the action of non-local symmetries of the self-dual Yang–Mills equations. Such connections fit naturally inside a larger class of solutions to the self-dual Yang–Mills equations that are analogous to harmonic maps of finite type.

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تاریخ انتشار 2013