Abstract

Seiberg–Witten equations on 8-manifolds with Spin(7)-holonomy are introduced in [A. H. Bilge, T. Dereli and S. Koçak, Monopole equations on 8-manifolds with Spin(7) holonomy, Commun. Math. Phys.203(1) (1999) 21–30] and it is given a local solution for these equations. In this work, we write down similar Seiberg–Witten equations on 8-dimensional manifolds with SU(4)-structure and give a global solution for these equations.

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