Seiberg-Witten equations on pseudo-Riemannian spinc manifolds with neutral signature
Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica, cilt.20, sa.1, ss.73-89, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 20 Sayı: 1
- Basım Tarihi: 2012
- Doi Numarası: 10.2478/v10309-012-0006-7
- Dergi Adı: Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.73-89
- Anahtar Kelimeler: Dirac operator, Neutral metric, Pseudo-Riemannian spinc-structure, Seiberg-Witten equations
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Anadolu Üniversitesi Adresli: Evet
Özet
Pseudo-Riemannian spinc manifolds were introduced by Ikemakhen in [7]. In the present work we consider pseudoRiemannian 4-manifolds with neutral signature whose structure groups are SO+(2; 2). We prove that such manifolds have pseudoRiemannian spinc structure. We construct spinor bundle S and half-spinor bundles S+ and S-on these manifolds. For therst Seiberg-Witten equation we define Dirac operator on these bundles. Due to the neutral metric self-duality of a 2-form is meaningful and it enables us to write down second Seiberg-Witten equation. Lastly we write down the explicit forms of these equations on 4-dimensional at space.