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arXiv · 2209.06309

Self-dual compact gauged baby skyrmions in a continuous medium

C. A. I. Florián·Rodolfo Casana·André C. Santos
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Abstract

We investigate the existence of self-dual configurations in the restricted gauged baby Skyrme model enlarged with a $Z_2$--symmetry, which introduces a real scalar field. For such a purpose, we implement the Bogomol'nyi procedure that provides a lower bound for the energy and the respective self-dual equations whose solutions saturate such a bound. Aiming to solve the self-dual equations, we specifically focused on a class of topological structures called compacton. We obtain the corresponding numerical solutions within two distinct scenarios, each defined by a scalar field, allowing us to describe different magnetic media. Finally, we analyze how the compacton profiles change when immersed in each medium.

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C. A. I. Florián, Rodolfo Casana, André C. Santos. 2022-09-13. Self-dual compact gauged baby skyrmions in a continuous medium. https://doi.org/10.1016/j.aop.2024.169820

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