General solutions of the supersymmetric ℂP 2 sigma model and its generalisation to ℂP N−1

A new approach for the construction of finite action solutions of the supersymmetric ℂP 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 ℂP 2 model in detail and present its solutions in an expli...

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Bibliographic Details
Published in:Journal of mathematical physics 2016-02, Vol.57 (2)
Main Authors: Delisle, L., Hussin, V., Zakrzewski, W. J.
Format: Article
Language:English
Online Access:Get full text
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Summary:A new approach for the construction of finite action solutions of the supersymmetric ℂP 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 ℂP 2 model in detail and present its solutions in an explicit form. We also show how to generalise this construction to N > 3.
ISSN:0022-2488
1089-7658
DOI:10.1063/1.4940209