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arXiv · 1406.3371

Constant curvature surfaces of the supersymmetric $\mathbb{C}P^{N-1}$ sigma model

Laurent Delisle·Véronique Hussin·İsmeth Yurduşen·Wojtek J. Zakrzewski
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Abstract

Constant curvature surfaces are constructed from the finite action solutions of the supersymmetric $\mathbb{C}P^{N-1}$ sigma model. It is shown that there is a unique holomorphic solution which leads to constant curvature surfaces: the generalized Veronese curve. We give a general criterion to construct non-holomorphic solutions of the model. We extend our analysis to general supersymmetric Grassmannian models.

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Laurent Delisle, Véronique Hussin, İsmeth Yurduşen, Wojtek J. Zakrzewski. 2014-08-14. Constant curvature surfaces of the supersymmetric $\mathbb{C}P^{N-1}$ sigma model. https://doi.org/10.1063/1.4907868

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