Raymond, Robin
[Author]
;
Pidstrygach, Viktor
[Contributor];
Schick, Thomas
[Contributor];
Rehren, Karl-Henning
[Contributor];
Seppänen, Henrik
[Contributor];
Wardetzky, Max
[Contributor];
Zhu, Chenchang
[Contributor]
Footnote:
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Description:
Using the viewpoint of principal bundles on hyperk¨ ahler reductions, we recover the results of Gocho and Nakajima [GN92] and give insights into the role that the quater- nions play. We define a framework for dimensional reduction of gauge theories and show that the Haydys-Witten equations are dimensionally reduced Spinp7q-instantons. We extend the Nahm transform to data close to a solution satisfying the ordinary boundary conditions. Using generalized Seiberg-Witten, we show that G2-Monopoles on Λ2 `X and solutions of the Haydys-Witten equations on R ˆ X for X an oriented Riemannian 4-manifold are related to solutions of generalized Seiber-Witten equations with target the moduli space of Bogomolny monopoles and Nahm equations respec- tively. Applying the Nahm transform we derive a relation between G2-Monopoles and solutions of the Haydys-Witten equations. Finally we hint how this can be extended