Monopole Equations on R8: The Energy Integral

Abstract

We discuss the Seiberg-Witten theory in four dimensions and possible generalizations to eight dimensions. We propose an action which is minimized by a set of monopole equations, previously obtained as a generalization of Seiberg-Witten theory to eight manifolds with Spin(7) holonomy.

We discuss the Seiberg-Witten theory in four dimensions and possible generalizations to eight dimensions. We propose an action which is minimized by a set of monopole equations, previously obtained as a generalization of Seiberg-Witten theory to eight manifolds with Spin(7) holonomy.