论文标题
$ SO（2）$衡量的Skyrmions $ 4+1 $尺寸
$SO(2)$ gauged Skyrmions in $4+1$ dimensions
论文作者
论文摘要
我们研究了最简单的$（2）$ guauged $ o（5）$ Skyrme型号，价格为$ 4+1 $（扁平）尺寸。在量规解耦合极限中，该模型支持拓扑稳定的孤子（Skyrmions），并在测量后，溶液的静态能量从下面的“ Baryon数”界定。研究的模型具有Maxwell和Maxwell-Chern-Simons Dynamics。在$ {\ mathbb r}^4 $子空间中，所考虑的配置受到BI-AZIMUTHAL对称性的影响，导致二维子系统，并受到增强的对称性，将两架平面与$ {\ Mathbb r}^4 $子空间中的两个平面相关联，这导致了一个一个维度的子系统。在两种情况下都构建了数值解决方案。在纯粹的磁性情况下，给出了完全双重的溶液，而在chern-simons项的存在下，并且在不存在的情况下，在径向（增强的对称）情况下仅在径向（增强的对称）情况下构建电荷和旋转溶液。我们发现，与$ 2+1 $尺寸的类似模型相反，在此所研究的模型中，Chern-Simons项的存在仅导致定量效应。
We study the simplest $SO(2)$ gauged $O(5)$ Skyrme models in $4+1$ (flat) dimensions. In the gauge decoupled limit, the model supports topologically stable solitons (Skyrmions) and after gauging, the static energy of the solutions is bounded from below by a "baryon number". The studied model features both Maxwell and Maxwell--Chern-Simons dynamics. The considered configurations are subject to bi-azimuthal symmetry in the ${\mathbb R}^4$ subspace resulting in a two dimensional subsystem, as well as subject to an enhanced symmetry relating the two planes in the ${\mathbb R}^4$ subspace, which results in a one dimensional subsystem. Numerical solutions are constructed in both cases. In the purely magnetic case, fully bi-azimuthal solutions were given, while electrically charged and spinning solutions were constructed only in the radial (enhanced symmetric) case, both in the presence of a Chern-Simons term, and in its absence. We find that, in contrast with the analogous models in $2+1$ dimensions, the presence of the Chern-Simons term in the model under study here results only in quantitative effects.
