Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions

TL;DR

This paper investigates the baby Skyrme model's near-BPS approximations, providing analytical and numerical validation, and explores its supersymmetric extensions with ${ m N}=1$ and ${ m N}=2$, linking them to the near-BPS framework.

Contribution

It introduces a near-BPS approximation for the baby Skyrme model and analyzes its supersymmetric extensions, connecting these concepts.

Findings

Near-BPS approximation is valid with small deviations from BPS limits.

Analytical and numerical support for the approximation's validity.

Supersymmetric extensions relate to the near-BPS approximation.

Abstract

We study the baby Skyrme model as a theory that interpolates between two distinct BPS systems. For this a near-BPS approximation can be used which, however, involves a small deviation from each of the two BPS limits. We provide analytical explanation and numerical support for the validity of this approximation. We then study the set of all possible supersymmetric extensions of the baby Skyrme model with ${\cal N}=1$ and the particular ones with extended ${\cal N}=2$ supersymmetries and relate this to the above mentioned almost-BPS approximation.