SEIBERG-WITTEN EQUATIONS ON FOUR-DIMENSIONAL LORENTZIAN Spin(c) MANIFOLDS

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DEĞİRMENCİ N., ÖZDEMİR N.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, vol.8, no.4, pp.699-708, 2011 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 8 Issue: 4
• Publication Date: 2011
• Doi Number: 10.1142/s0219887811005348
• Journal Name: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.699-708
• Keywords: Lorentzian Spin(c), Dirac operator, Seiberg-Witten equations
• Anadolu University Affiliated: Yes

Abstract

New kind of spinors are introduced on four-dimensional Lorentzian Spin(c) manifolds in [1]. We define Dirac operator on such spinors. In [2] Seiberg-Witten-like equations are written down on Minkowski space. In the present work we generalize these equations to four-dimensional Lorentzian Spin(c)-manifolds.