Supersymmetric Harmonic Maps into Lie Groups

TL;DR

This paper explores the supersymmetric extension of harmonic maps into Lie groups, providing explicit solutions and analyzing their properties using Backlund transformations, contributing to mathematical physics and differential geometry.

Contribution

It introduces a supersymmetric generalization of harmonic maps into Lie groups and derives explicit solutions using Backlund transformations.

Findings

Explicit solutions to supersymmetric harmonic map equations

Application of Backlund transformations to analyze solutions

Enhanced understanding of supersymmetric models in geometry

Abstract

We look at the supersymmetric generalization of harmonic maps into Lie groups, known to physicists as the chiral model. Explicit solutions to the equations are found and examined using Backlund transformations.