Baby Skyrme Model, Near-BPS Approximations and Supersymmetric Extensions

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 $\mathcal{N}=1$ and the particular ones with extended $\mathcal{N}=2$ supersymmetries and relate this to the above mentioned almost-BPS approximation.

23 pages, 5 figures, v2: explanations added

References in corpus (8)

• Chiral Dynamics of Baryons from String Theory
• A BPS Skyrme model and baryons at large Nc
• Investigation of restricted baby Skyrme models
• N=1 supersymmetric extension of the baby Skyrme model
• BPS States in Supersymmetric Chiral Models with Higher Derivative Terms
• Near BPS Skyrmions and Restricted Harmonic Maps
• Magnetothermodynamics of BPS baby skyrmions
• Instanton Bags, High Density Holographic QCD and Chiral Symmetry Restoration

Cited by in corpus (15)

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• Classifying BPS States in Supersymmetric Gauge Theories Coupled to Higher Derivative Chiral Models
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Topological solitons in the supersymmetric Skyrme model
• Supersymmetry Breaking in Spatially Modulated Vacua
• Baby Skyrme models without a potential term
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Near-BPS Skyrmions
• Magnetic Skyrmions: from lumps to supercompactons
• Mass and Isospin Breaking Effects in the Skyrme Model and in Holographic QCD
• Self-dual compact gauged baby skyrmions in a continuous medium
• Restricted baby Skyrme-Maxwell theory in a magnetic medium: BPS configurations and some properties
• Self-dual solitons in a Born-Infeld baby Skyrme model