On analytic descriptions of two-dimensional surfaces associated with the CPN-1 sigma model

Creative Commons License

Grundland A. M., Yurdusen İ.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol.42, no.17, 2009 (SCI-Expanded) identifier identifier


We study analytic descriptions of conformal immersions of the Riemann sphere S-2 into the CPN-1 sigma model. In particular, an explicit expression for two-dimensional (2D) surfaces, obtained from the generalized Weierstrass formula, is given. It is also demonstrated that these surfaces coincide with those obtained from the Sym-Tafel formula. These two approaches correspond to parametrizations of one and the same surface in RN2-1.