Monopole equations on 8-manifolds with Spin(7) holonomy

Abstract

We construct a consistent set of monopole equations on eight-manifolds with Spin(7) holonomy. These equations are elliptic and admit non-trivial solutions including all the 4-dimensional Seiberg-Witten solutions as a special case.

14 pages, LATEX (No figures)

References in corpus (2)

• Higher Dimensional Analogues of Donaldson-Witten Theory
• Higher Dimensional Yang-Mills Theories and Topological Terms

Cited by in corpus (3)

• Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4
• Seiberg-Witten Like equations on 5-dimensional contact metric manifolds
• Seiberg-Witten type monopole equations on 8-manifolds with Spin(7) holonomy as minimizers of a quadratic action