Monopole equations on 8-manifolds with Spin(7) holonomy
A.H.Bilge (ITU), T.Dereli (METU), S.Kocak (Anadolu U.)
TL;DR
This paper develops monopole equations on 8-manifolds with Spin(7) holonomy, extending the framework of Seiberg-Witten theory to higher dimensions and revealing new elliptic equations with non-trivial solutions.
Contribution
It introduces a new set of elliptic monopole equations on Spin(7) manifolds, generalizing 4D Seiberg-Witten solutions to eight dimensions.
Findings
Equations are elliptic and admit non-trivial solutions.
Includes all 4D Seiberg-Witten solutions as special cases.
Provides a foundation for higher-dimensional gauge theory analysis.
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.
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