Physics – Mathematical Physics
Scientific paper
2006-06-02
J.Phys.A39:14231,2006
Physics
Mathematical Physics
Scientific paper
10.1088/0305-4470/39/45/027
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.
Hussin Veronique
Zakrzewski Wojtek J.
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