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

P. P. Goldstein; A. M. Grundland

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

Mathematical Physics 2010-02-16 v1 math.MP Exactly Solvable and Integrable Systems

Authors: P. P. Goldstein , A. M. Grundland

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.

Keywords

CP^{N-1} sigma model integrable system invariant formulation projection operator surface geometry Riemann sphere

Cite

@article{arxiv.1002.2906,
  title  = {Invariant formulation of surfaces associated with $CP^{N-1}$ models},
  author = {P. P. Goldstein and A. M. Grundland},
  journal= {arXiv preprint arXiv:1002.2906},
  year   = {2010}
}

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15 pages

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

Abstract

Keywords

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