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arXiv · 1002.2906

Invariant formulation of surfaces associated with $CP^{N-1}$ models

P. P. Goldstein·A. M. Grundland
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Abstract

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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P. P. Goldstein, A. M. Grundland. 2010-02-15. Invariant formulation of surfaces associated with $CP^{N-1}$ models. https://arxiv.org/abs/1002.2906

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