Holomorphic solutions of the susy grassmannian $\sigma$-model and gauge invariance

TL;DR

This paper explores the gauge invariance properties of the supersymmetric Grassmannian sigma model, demonstrating how to simplify certain constant curvature holomorphic solutions using gauge invariance.

Contribution

It introduces the gauge invariance structure of the supersymmetric Grassmannian sigma model and applies it to reduce complex solutions to simpler forms.

Findings

Gauge invariance in the supersymmetric model is richer than in the bosonic case.

Method to reduce constant curvature holomorphic solutions using gauge invariance.

Simplification of solutions facilitates better understanding of the model's structure.

Abstract

We study the gauge invariance of the supersymmetric grassmannian sigma model $G(M,N)$. It is richer then its purely bosonic submodel and we show how to use it in order to reduce some constant curvature holomorphic solutions of the model into simpler expressions.