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arXiv · 2106.08546

Self-dual solitons in a Born-Infeld baby Skyrme model

Rodolfo Casana·André C. Santos
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Abstract

We show the existence of self-dual (topological) solitons in a gauged version of the baby Skyrme model in which the Born-Infeld term governs the gauge field dynamics. The successful implementation of the Bogomol'nyi-Prasad-Sommerfield formalism provides a lower bound for the energy and the respective self-dual equations whose solutions are the solitons saturating such a limit. The energy lower bound (Bogomol'nyi bound) is proportional to the topological charge of the Skyrme field and therefore quantized. In contrast, the total magnetic flux is a nonquantized quantity. Furthermore, the model supports three types of self-dual solitons profiles: the first describes compacton solitons, the second follows a Gaussian decay law, and the third portrays a power-law decay. Finally, we perform numerical solutions of the self-dual equations and depicted the soliton profiles for different values of the parameters controlling the nonlinearity of the model.

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Rodolfo Casana, André C. Santos. 2021-06-16. Self-dual solitons in a Born-Infeld baby Skyrme model. https://doi.org/10.1103/physrevd.104.065009

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