Skyrme-like models and supersymmetry in 3+1 dimensions

TL;DR

This paper develops supersymmetric extensions of Skyrme-like models in four-dimensional spacetime, deriving BPS equations and bounds, and explores their origins from higher-dimensional supersymmetric theories.

Contribution

It introduces new supersymmetric versions of Skyrme-like models and connects them to higher-dimensional supersymmetric Yang-Mills and Born-Infeld theories.

Findings

BPS equations derived from supersymmetry

Skyrme-like models from 5D supersymmetric theories

Supersymmetric bounds established for models

Abstract

We construct supersymmetric extensions for different Skyrme-like models in 3+1 dimensions. BPS equations and BPS bounds are obtained from supersymmetry in some cases. We discuss also the emergence of several Skyrme-like models from supersymmetric Yang-Mills theory and Born-Infeld theory in 5 dimensions.