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arXiv · 0905.2556

On analytic descriptions of two-dimensional surfaces associated with the CP^(N-1) sigma model

A. M. Grundland·I. Yurdusen
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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).

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A. M. Grundland, I. Yurdusen. 2009-05-15. On analytic descriptions of two-dimensional surfaces associated with the CP^(N-1) sigma model. https://doi.org/10.1088/1751-8113%2F42%2F17%2F172001

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