TY  - JOUR
TI  - Explicit examples of constant curvature surfaces in the supersymmetric$mathbb{C}P^{2}$ sigma model
AB  - The surfaces constructed from the holomorphic solutions of the supersymmetric (susy) $mathbb{C}P^{N-1}$ sigma model are studied. By obtaining compact general expansion formulae having neat forms due to the properties of the superspace in which this model is described, the explicit expressions for the components of the radius vector as well as the elements of the metric and the Gaussian curvature are given in a rather natural manner. Several examples of constant curvature surfaces for the susy $mathbb{C}P^{2}$ sigma model are presented.
AU  - Yurduşen, İsmet
DO  - 10.55730/1300-0098.3282
PY  - 2022
JO  - Turkish Journal of Mathematics
VL  - 46
IS  - 6
SN  - 1300-0098
SP  - 2485
EP  - 2499
DB  - TRDizin
UR  - http://search/yayin/detay/1142857
ER  -