Susy CP^(N-1) model and surfaces in R^(N^2-1)

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.

References in corpus (2)

• Constant mean curvature surfaces via integrable dynamical system
• Generalized Weierstrass-Enneper inducing, conformal immersions, and gravity

Cited by in corpus (8)

• Surfaces in ${\mathbb{R}}^{N^2-1}$ based on harmonic maps $S^2\to C{P}^{N-1}$
• Constant curvature surfaces of the supersymmetric $\mathbb{C}{P}^{N-1}$ sigma model
• Canonical surfaces associated with projectors in grassmannian sigma models
• Conformally parametrized surfaces associated with CP^(N-1) sigma models
• Surfaces obtained from CP^(N-1) sigma models
• General solutions of the supersymmetric $\mathbb{C}{P}^2$ sigma model and its generalisation to $\mathbb{C}{P}^{N-1}$
• Supersymmetric versions of the Fokas-Gel'fand formula for immersion
• Superforms and the $\mathbb{C}{P}^{N-1}$ supersymmetric sigma model