Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3282
Abstract
The surfaces constructed from the holomorphic solutions of the supersymmetric (susy) ${C}P^{N-1}$ 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 ${C}P^{2}$ sigma model are presented.
Keywords
Supersymmetric, curvature, sigma models
First Page
2485
Last Page
2499
Recommended Citation
YURDUŞEN, İSMET
(2022)
"Explicit examples of constant curvature surfaces in the supersymmetric ${C}P^{2}$ sigma model,"
Turkish Journal of Mathematics: Vol. 46:
No.
6, Article 30.
https://doi.org/10.55730/1300-0098.3282
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss6/30
