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

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

2009-05-15

arxiv.org/abs/0905.2556v1

J. Phys. A: Math. Theor. 42 (2009) 172001

Mathematics

Differential Geometry

6 pages

Scientific paper

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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