Constant curvature surfaces of the supersymmetric sigma model


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

JOURNAL OF MATHEMATICAL PHYSICS, vol.56, no.2, 2015 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 2
  • Publication Date: 2015
  • Doi Number: 10.1063/1.4907868
  • Title of Journal : JOURNAL OF MATHEMATICAL PHYSICS

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.