关于CP ^（N-1）sigma模型二维曲面的解析描述
On analytic descriptions of two-dimensional surfaces associated with the CP^(N-1) sigma model
摘要：
研究了黎曼球面S^2到CP^（N-1）sigma模型的共形浸入的解析描述。特别地，给出了由广义Weierstrass公式得到的二维（2-D）曲面的显式表达式。它也表明，这些表面符合Sym-Tafel公式得到的。这两种方法对应于R^（N^2-1）中同一曲面的参数化。
英文摘要：
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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