Baby Skyrme model and fermionic zero modes

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.

Minor corrections. Version to appear in PRD

References in corpus (8)

• k-defects as compactons
• Investigation of restricted baby Skyrme models
• Higher-Derivative Chiral Superfield Actions Coupled to N=1 Supergravity
• N=1 supersymmetric extension of the baby Skyrme model
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• A supersymmetric Skyrme model
• Inflating baby-Skyrme branes in six dimensions
• Supersymmetric k-defects

Cited by in corpus (16)

• BPS soliton-impurity models and supersymmetry
• The BPS property and its breaking in 1+1 dimensions
• Kinks bounded by fermions
• Topological solitons in the supersymmetric Skyrme model
• Soliton solutions of the fermion-Skyrmion system in (2+1) dimensions
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Background fields and self-dual Skyrmions
• Ghostbusters in $f(R)$ supergravity
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Non-uniqueness of the supersymmetric extension of the $O(3)$ $\sigma$-model
• BPS deformations of the Skyrme model
• Topologically Stable BPS and Non-BPS States in Supersymmetric $\mathcal{N}=2$ Baby-Skyrme Model