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arXiv · 1807.09612

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

Jose M. Queiruga
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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 K\"{a}hler 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.

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Jose M. Queiruga. 2018-07-24. SUSY Chern-Simons $\mathbb{CP}^N$ and baby Skyrme models and their BPS structures. https://doi.org/10.1088/1751-8121/aaf93c

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