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BPS submodels of the generalized Skyrme model and how to find them
Nuclear Physics B ( IF 2.8 ) Pub Date : 2020-05-28 , DOI: 10.1016/j.nuclphysb.2020.115062
Ardian Nata Atmaja , Bobby Eka Gunara , Ilham Prasetyo

Using the BPS Lagrangian method we show that all known BPS submodels of the generalized Skyrme model, with a particular ansatz for the fields content, can be divided into three groups based on the (effective) number of derivative-terms in the BPS submodels. We are able to derive rigorously the Bogomolny's equations of those BPS submodels. The resulting Bogomolny's equations, along with possible constraint equations, are in general forms in which some of the known BPS submodels may contain other possible non-trivial (non-vacuum) solutions then the ones found in the literature. Furthermore, we derive some other new BPS submodels of the generalized Skyrme model for each of the groups and some of them yield new solutions.



中文翻译:

广义Skyrme模型的BPS子模型以及如何找到它们

使用BPS拉格朗日方法,我们显示了广义Skyrme模型的所有已知BPS子模型(具有针对字段内容的特定ansatz),可以根据BPS子模型中(有效)导数项的(有效)数量分为三组。我们能够严格得出这些BPS子模型的Bogomolny方程。所得的Bogomolny方程以及可能的约束方程是一般形式,其中某些已知的BPS子模型可能包含除文献中发现的其他可能的非平凡(非真空)解决方案。此外,我们为每个组导出了广义Skyrme模型的其他一些新BPS子模型,并且其中一些产生了新的解决方案。

更新日期:2020-05-28
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