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arXiv · 1507.08508

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

Laurent Delisle·Véronique Hussin·Wojtek J. Zakrzewski
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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 $N>3$.

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Laurent Delisle, Véronique Hussin, Wojtek J. Zakrzewski. 2015-07-30. General solutions of the supersymmetric $\mathbb{C}P^2$ sigma model and its generalisation to $\mathbb{C}P^{N-1}$. https://doi.org/10.1063/1.4940209

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