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Original Articles
Seiberg-Witten like Equations on 8-Manifolds with Structure Group Spin(7)
Nülifer Özdemirnozdemir@anadolu.edu.trDepartment of MathematicsFacultyAnadolu UniversityScience, Eskisehir, 26470, TurkeyView full profile → , Nedim Değirmencindegirmenci@anadolu.edu.trDepartment of MathematicsFacultyAnadolu UniversityScience, Eskisehir, 26470, TurkeyView full profile →
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- Published Online:
- 03 Jun 2013
- Article type:
- Original Articles
- Language:
- EN
- Article no.:
- 1726037X.2009.10698560
- Pages:
- 21–39
Abstract
Seiberg-Witten monopole equations are defined on 4-manifolds and solution space of this equations yields differential topological invariants. In this work we consider 8-dimensional Riemannian manifolds with structure group Spin(7). Such manifolds have a distinguished 4-form. By using this 4-form we define self-dual 2-form in dimension eight which is consistent with the well known self-duality notion in 8-dimension given by CDFN (see [5]). We then express Seiberg-Witten like equations in 8-dimension as analogues of Seiberg-witten equations in 4-dimension.
Keywords
References
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