General solutions of the supersymmetric ℂP2 sigma model and its generalisation to ℂPN−1

A new approach for the construction of finite action solutions of the supersymmetric ℂPN−1 sigma model is presented. We show that this approach produces more non-holomorphic solutions than those obtained in previous approaches. We study the ℂP2 model in detail and present its solutions in an explicit form. We also show how to generalise this construction to N > 3.