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

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.