Constant curvature surfaces of the supersymmetric sigma model

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DELISLE L., HUSSIN V., YURDUŞEN İ., Zakrzewski W. J.

JOURNAL OF MATHEMATICAL PHYSICS, vol.56, no.2, 2015 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1063/1.4907868
  • Journal Name: JOURNAL OF MATHEMATICAL PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hacettepe University Affiliated: Yes

Abstract

Constant curvature surfaces are constructed from the finite action solutions of the supersymmetric CPN-1 sigma model. It is shown that there is a unique holomorphic solution which leads to constant curvature surfaces: the generalized Veronese curve. We give a general criterion to construct non-holomorphic solutions of the model. We extend our analysis to general supersymmetric Grassmannian models. (C) 2015 AIP Publishing LLC.