论文标题

背景字段和自动偶数天空

Background fields and self-dual Skyrmions

论文作者

Naya, C., Oles, K.

论文摘要

我们表明,合适的背景字段可以将非BPS拓扑孤子带入其BPS,即自动偶,对应物。例如,我们考虑在最小的Skyrme模型中的天空。我们证明了相应的模量空间的微不足道。这意味着由此产生的自动划分Skyrmion确实在静态地与背景字段相互作用。我们还表明,最初的自动划分天空(例如,BPS Skyrme模型的解决方案)可以在与背景字段耦合后保持自偶性。在这种情况下,BPS Skyrmions可以毫不费力地相对于背景。

We show that a suitable background field can bring a non-BPS topological soliton into its BPS, self-dual, counterpart. As an example we consider Skyrmions in the minimal Skyrme model. We prove the triviality of the corresponding moduli space. This means that the resulting self-dual Skyrmion does statically interact with the background field. We also show that the originally self-dual Skyrmions (e.g. solutions of the BPS Skyrme model) can preserve the self-duality after a coupling with a background field. In this case, BPS Skyrmions can be effortless moved with respect to the background.

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