Skip to content

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

V. Hussin, W. J. Zakrzewski

math-pharXiv:math-ph/0606012

Abstract

We describe surfaces in RN2-1 generated by the holomorphic solutions of the supersymmetric CPN-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 CPN-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.

Create a lesson