Baby Skyrme model and fermionic zero modes

TL;DR

This paper explores the fermionic zero modes and supersymmetry behavior in the supersymmetric baby Skyrme model, revealing core confinement of zero modes, partial SUSY breaking, and effects of D-term deformation.

Contribution

It provides new insights into fermionic zero modes and supersymmetry restoration in the baby Skyrme model with D-term deformation.

Findings

Fermionic zero modes are confined to the defect core.

Supersymmetry is broken in the core but restored outside.

D-term deformation enables zero modes and SUSY breaking outside the defect.

Abstract

In this work we investigate some features of the fermionic sector of the supersymmetric version of the baby Skyrme model. We find that, in the background of BPS compact Skyrmions, fermionic zero modes are confined to the defect core. Further, we show that, while three SUSY generators are broken in the defect core, SUSY is completely restored outside. We study also the effect of a D-term deformation of the model. Such a deformation allows for the existence of fermionic zero modes and broken SUSY outside the compact defect.