Skyrme-like models and supersymmetry in 3+1 dimensions

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.

36 pages, typos corrected. Version to appear in PRD

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Cited by in corpus (19)

• BPS soliton-impurity models and supersymmetry
• The BPS property and its breaking in 1+1 dimensions
• Topological solitons in the supersymmetric Skyrme model
• A higher-order Skyrme model
• Baby Skyrme model and fermionic zero modes
• BPS submodels of the Skyrme model
• Supersymmetry Breaking in Spatially Modulated Vacua
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Supersymmetric galileons and auxiliary fields in 2+1 dimensions
• Supersymmetry breaking and ghost Goldstino in modulated vacua
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Background fields and self-dual Skyrmions
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Ghostbusters in $f(R)$ supergravity
• Non-uniqueness of the supersymmetric extension of the $O(3)$ $\sigma$-model
• BPS deformations of the Skyrme model
• Self-dual solitons in a Born-Infeld baby Skyrme model
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties