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


Grundland A. M. , Yurdusen İ.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.42, 2009 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 42 Konu: 17
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1088/1751-8113/42/17/172001
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

Özet

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.