Explicit examples of constant curvature surfaces in the supersymmetric CP2 sigma model

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YURDUŞEN İ.

TURKISH JOURNAL OF MATHEMATICS, cilt.46, sa.6, ss.2485-2499, 2022 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 46 Sayı: 6
  • Basım Tarihi: 2022
  • Doi Numarası: 10.55730/1300-0098.3282
  • Dergi Adı: TURKISH JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.2485-2499
  • Anahtar Kelimeler: Supersymmetric, curvature, sigma models, GENERAL CLASSICAL-SOLUTIONS
  • Hacettepe Üniversitesi Adresli: Evet

Özet

The surfaces constructed from the holomorphic solutions of the supersymmetric (susy) CPN-1 sigma model are studied. By obtaining compact general expansion formulae having neat forms due to the properties of the superspace in which this model is described, the explicit expressions for the components of the radius vector as well as the elements of the metric and the Gaussian curvature are given in a rather natural manner. Several examples of constant curvature surfaces for the susy CP2 sigma model are presented.