Susy CP^(N-1) model and surfaces in R^(N^2-1)
Mathematical Physics
2009-11-11 v2 High Energy Physics - Theory
Differential Geometry
math.MP
Abstract
We describe surfaces in R^{N^2-1} generated by the holomorphic solutions of the supersymmetric CP^{N-1} model. We show that these surfaces are described by the fundamental projector constructed out of the solutions of this model and that in the CP^{N-1} case the corresponding surface is a sphere. Although the coordinates of the sphere are superfields the sphere's curvature is constant. We show that for N>2 the corresponding surfaces can also be constructed from the similar projector.
Keywords
Cite
@article{arxiv.math-ph/0606012,
title = {Susy CP^(N-1) model and surfaces in R^(N^2-1)},
author = {V. Hussin and W. J. Zakrzewski},
journal= {arXiv preprint arXiv:math-ph/0606012},
year = {2009}
}