SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures

Abstract

We construct the $\mathcal{N}=2$ supersymmetric extensions of different models containing a Chern-Simons term and study their BPS structure. We find that the coupling of the Chern-Simons term to the general gauged nonlinear $\sigma$-model allows for general potentials depending on the Kähler metric and preserving two supersymmetries. We construct from supersymmetry the potentials that allow for BPS structures in different $\mathbb{C}{P}^N$ models coupled to Chern-Simons and Maxwell terms. We also couple the Chern-Simons term to a higher-derivative field theory (the baby Skyrme model) and study its SUSY extension and BPS structure.

arXiv comment30 pages

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Cited by in corpus (7)

• BPS soliton-impurity models and supersymmetry
• Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories
• Self-dual solitons in a generalized Chern-Simons baby Skyrme model
• Self-dual solitons in a Maxwell-Chern-Simons baby 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