English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

In this paper, we present invariant recurrence relations for the completelyintegrable CP^(N-1) Euclidean sigma model in two dimensions defined on theRiemann sphere S^2 when its action functional is finite. We determine the linksbetween successive projection operators, wave functions of the linear spectralproblem, and immersion functions of surfaces in the su(N) algebra together withoutlines of the proofs. Our formulation preserves the conformal and scalinginvariance of these quantities. Certain geometrical aspects of these relationsare described. We also discuss the singularities of meromorphic solutions ofthe CP^(N-1) model and show that they do not affect the invariant quantities.We illustrate the construction procedure through the examples of the CP^2 andCP^3 models.

Invariant recurrence relations for CP^(N-1) models