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.

arXiv comment23 pages, 5 figures, v2: explanations added

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Cited by in corpus (33)

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• The BPS property and its breaking in 1+1 dimensions
• Higher Derivative Corrections to Manifestly Supersymmetric Nonlinear Realizations
• Topological solitons in the supersymmetric Skyrme model
• A higher-order Skyrme model
• Skyrme-like models and supersymmetry in 3+1 dimensions
• Supersymmetry Breaking in Spatially Modulated Vacua
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Near-BPS baby Skyrmions
• Baby Skyrme models without a potential term
• Ghost-free vector superfield actions in supersymmetric higher-derivative theories
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Supersymmetry breaking and ghost Goldstino in modulated vacua
• From the Sakai-Sugimoto Model to the Generalized Skyrme Model
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Background fields and self-dual Skyrmions
• Ghostbusters in $f(R)$ supergravity
• Analytic Baby Skyrmions at Finite Density
• Gravitating gauged BPS baby Skyrmions
• Non-uniqueness of the supersymmetric extension of the $O(3)$ $\sigma$-model
• Higher Derivative Supersymmetric Nonlinear Sigma Models on Hermitian Symmetric Spaces, and BPS States Therein
• Near-BPS baby Skyrmions with Gaussian tails
• Near-BPS Skyrmions
• Magnetic Skyrmions: from lumps to supercompactons
• Mass and Isospin Breaking Effects in the Skyrme Model and in Holographic QCD
• BPS deformations of the Skyrme model
• 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