On the surfaces associated with ℂ<i>P</i><sup><i>N</i>−1</sup>models
On the surfaces associated with ℂ<i>P</i><sup><i>N</i>−1</sup>models
We study certain new properties of 2D surfaces associated with the $\mathbb{C}P^{N-1}$ models and the wave functions of the corresponding linear spectral problem. We show that $su(N)$-valued immersion functions expressed in terms of rank-1 orthogonal projectors are linearly dependent, but they span an $(N-1)$-dimensional subspace of the Lie algebra $su(N)$. …