SEIBERG-WITTEN LIKE EQUATIONS ON 8-MANIFOLDS WITH STRUCTURE GROUP SPIN(7)
JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, vol.7, no.1, pp.21-39, 2009 (ESCI)
- Publication Type: Article / Article
- Volume: 7 Issue: 1
- Publication Date: 2009
- Doi Number: 10.1080/1726037x.2009.10698560
- Journal Name: JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES
- Journal Indexes: Emerging Sources Citation Index (ESCI)
- Page Numbers: pp.21-39
- Keywords: Seiberg-witten equations, Spinor, Spin(7)-structure, FIELDS
- Anadolu University Affiliated: Yes
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.