SEIBERG-WITTEN LIKE EQUATIONS ON 8-MANIFOLDS WITH STRUCTURE GROUP SPIN(7)

ÖZDEMİR N., Dedirmenci N.

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES, cilt.7, sa.1, ss.21-39, 2009 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 7 Sayı: 1
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1080/1726037x.2009.10698560
  • Dergi Adı: JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
  • Sayfa Sayıları: ss.21-39
  • Anahtar Kelimeler: Seiberg-witten equations, Spinor, Spin(7)-structure, FIELDS
  • Anadolu Üniversitesi Adresli: Evet

Özet

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.