Monopole equations on 8-manifolds with Spin(7)-holonomy. (English) Zbl 0946.58028
The authors construct some monopole equations on eight-manifolds with Spin(7)-holonomy. These equations are elliptic and admit non-trivial solutions including all 4-dimensional Seiberg-Witten solutions as a special case.
Reviewer: Bernd Ammann (New York)
MSC:
58J90 | Applications of PDEs on manifolds |
81T30 | String and superstring theories; other extended objects (e.g., branes) in quantum field theory |