Constant curvature surfaces of the supersymmetric $\mathbb{C}P^{N-1}$   sigma model
  Constant curvature surfaces are constructed from the finite action solutions of the supersymmetric $\mathbb{C}P^{N-1}$ 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. 
Laurent Delisle, V\'eronique Hussin, \.Ismeth Yurdu\c{s}en and Wojtek   J. Zakrzewski
math-ph math.DG math.MP