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


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YURDUŞEN İ.

TURKISH JOURNAL OF MATHEMATICS, vol.46, no.6, pp.2485-2499, 2022 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 46 Issue: 6
  • Publication Date: 2022
  • Doi Number: 10.55730/1300-0098.3282
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.2485-2499
  • Keywords: Supersymmetric, curvature, sigma models, GENERAL CLASSICAL-SOLUTIONS
  • Hacettepe University Affiliated: Yes

Abstract

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.