SEIBERG-WITTEN EQUATIONS ON 8-DIMENSIONAL MANIFOLDS WITH SU(4)-STRUCTURE

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Karapazar S.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.10, no.3, 2013 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 10 Issue: 3
• Publication Date: 2013
• Doi Number: 10.1142/s0219887812200320
• Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Keywords: Self-duality, spinor, Dirac operator, SU(4)-structure, Seiberg-Witten equations, 8-MANIFOLDS, HOLONOMY, SPIN(7)
• Anadolu University Affiliated: No

Abstract

Seiberg-Witten equations on 8-manifolds with Spin(7)-holonomy are introduced in [A. H. Bilge, T. Dereli and S. Kocak, Monopole equations on 8-manifolds with Spin(7) holonomy, Commun. Math. Phys. 203(1) (1999) 21-30] and it is given a local solution for these equations. In this work, we write down similar Seiberg-Witten equations on 8-dimensional manifolds with SU(4)-structure and give a global solution for these equations.