Seiberg-Witten Equations on 8-Dimensional Manifolds With Su(4)-Structure

Abstract

Seiberg-Witten equations on 8-manifolds with Spin(7)-holonomy are introduced in [A. H. Bilge, T. Dereli and S. Kocak, 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.