General solutions of the supersymmetric $\mathbb{C}{P}^2$ sigma model and its generalisation to $\mathbb{C}{P}^{N-1}$

Abstract

A new approach for the construction of finite action solutions of the supersymmetric $\mathbb{C}{P}^{N-1}$ sigma model is presented. We show that this approach produces more non-holomorphic solutions than those obtained in previous approaches. We study the $\mathbb{C}{P}^2$ model in detail and present its solutions in an explicit form. We also show how to generalise this construction to $N>3$.

15 pages, no figure

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Cited by in corpus (1)

• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures