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arxiv: math-ph/0606012 · v2 · submitted 2006-06-02 · 🧮 math-ph · hep-th· math.DG· math.MP

Susy CP^(N-1) model and surfaces in R^(N²-1)

classification 🧮 math-ph hep-thmath.DGmath.MP
keywords surfacesmodelsphereconstructedcorrespondingprojectorsolutionsalthough
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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.

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