Classical solutions of a flag manifold sigma-model

TL;DR

This paper analyzes classical solutions of a sigma-model with a flag manifold target space, emphasizing the role of the complex structure in the action, specifically on a spherical worldsheet.

Contribution

It provides a detailed description of classical solutions for the flag manifold sigma-model with explicit complex structure dependence on a sphere.

Findings

Classical solutions characterized for the flag manifold sigma-model.

Explicit role of complex structure in the model's action.

Solutions specific to the sphere CP^1 case.

Abstract

We study a sigma-model with target space the flag manifold U(3)/U(1)^3. A peculiarity of the model is that the complex structure on the target space enters explicitly in the action. We describe the classical solutions of the model for the case when the worldsheet is a sphere CP^1.