Seiberg-Witten-like equations on 5-dimensional contact metric manifolds

DEĞİRMENCİ N., BULUT Ş.

TURKISH JOURNAL OF MATHEMATICS, cilt.38, sa.5, ss.812-818, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 38 Sayı: 5
  • Basım Tarihi: 2014
  • Doi Numarası: 10.3906/mat-1303-34
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.812-818
  • Anahtar Kelimeler: Seiberg-Witten equations, spinor, Dirac operator, contact metric manifold, self-duality, MONOPOLE EQUATIONS, FIELDS
  • Anadolu Üniversitesi Adresli: Evet

Özet

In this paper, we write Seiberg-Witten-like equations on contact metric manifolds of dimension 5. Since any contact metric manifold has a Spin(e)-structure, we use the generalized Tanaka-Webster connection on a Spin(e) spinor bundle of a contact metric manifold to define the Dirac-type operators and write the Dirac equation. The self-duality of 2-forms needed for the curvature equation is defined by using the contact structure. These equations admit a nontrivial solution on 5-dimensional strictly pseudoconvex CR manifolds whose contact distribution has a negative constant scalar curvature.