On analytic descriptions of two-dimensional surfaces associated with the CP^(N-1) sigma model
Differential Geometry
2015-05-13 v1
Abstract
We study analytic descriptions of conformal immersions of the Riemann sphere S^2 into the CP^(N-1) sigma model. In particular, an explicit expression for two-dimensional (2-D) surfaces, obtained from the generalized Weierstrass formula, is given. It is also demonstrated that these surfaces coincide with the ones obtained from the Sym-Tafel formula. These two approaches correspond to parametrizations of one and the same surface in R^(N^2-1).
Keywords
Cite
@article{arxiv.0905.2556,
title = {On analytic descriptions of two-dimensional surfaces associated with the CP^(N-1) sigma model},
author = {A. M. Grundland and I. Yurdusen},
journal= {arXiv preprint arXiv:0905.2556},
year = {2015}
}
Comments
6 pages