与$CP^{N-1}$模型相关的曲面的不变式表述
Invariant formulation of surfaces associated with $CP^{N-1}$ models
摘要：
本文给出了定义在黎曼球面$S^2$上的二维完全可积$CP^{N-1}$欧几里德西格玛模型的一个不变公式。标度不变性是明确考虑到所有的方程表示的投影算子。详细讨论了映射到一维子空间上的投影子的性质。本文讨论了与$CP^{N-1}$模型有关的曲面及其线性谱问题的波函数。
英文摘要：
In this paper, we provide an invariant formulation of completely integrable $CP^{N-1}$ Euclidean sigma models in two dimensions defined on the Riemann sphere $S^2$. The scaling invariance is explicitly taken into account by expressing all the equations in terms of projection operators. Properties of the projectors mapping onto one-dimensional subspaces are discussed in detail. The paper includes a discussion of surfaces connected with the $CP^{N-1}$ models and the wave functions of their linear spectral problem.
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