Constant curvature surfaces of the supersymmetric $\mathbb{C}P^{N-1}$ sigma model
Mathematical Physics
2016-08-11 v2 Differential Geometry
math.MP
Abstract
Constant curvature surfaces are constructed from the finite action solutions of the supersymmetric 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.
Keywords
Cite
@article{arxiv.1406.3371,
title = {Constant curvature surfaces of the supersymmetric $\mathbb{C}P^{N-1}$ sigma model},
author = {Laurent Delisle and Véronique Hussin and İsmeth Yurduşen and Wojtek J. Zakrzewski},
journal= {arXiv preprint arXiv:1406.3371},
year = {2016}
}
Comments
20 pages, no figures